Area: Parallelograms
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Transcript of Area: Parallelograms
Area: ParallelogramsArea: Parallelograms
10-1
PRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
It takes 126 ft of fence to enclose a field that is twice as long as it iswide. What is the area of the field?
882 ft2
Area: ParallelogramsArea: ParallelogramsPRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
(For help, go to Lesson 3-4.)
Use A = w and find the third value.
1. A = 54 in.2, w = 6 in. 2. = 35 m, w = 7 m
3. A = 25 cm2, = 2.5 cm 4. = 7.2 ft, w = 7.2 ft
Check Skills You’ll Need
10-1
Area: ParallelogramsArea: ParallelogramsPRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
Solutions
1. A = w 2. A = w54 = 6 A = 35 • 7 = 9 in. A = 245 m2
3. A = w 4. A = w25 = 2.5w A = 7.2 • 7.2w = 10 cm A = 51.84 ft2
10-1
Area: ParallelogramsArea: Parallelograms
Find the area of the rectangle.
PRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
Step 1 Change the units so that they are the same.
150 cm = 1.5 m Change 150 centimeters to meters.
Step 2 Find the area.
A = bh Use the formula for area of a rectangle.
= (4)(1.5) Replace b and h with the dimensions 4 and 1.5.
= 6 Simplify.
The area of the rectangle is 6 m2. Quick Check
10-1
Area: ParallelogramsArea: Parallelograms
Find the area of each parallelogram.
PRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
a. b.
A = bh area formula
= (8)(2) Substitute.
= 16 Simplify.
The area is 16 m2. The area is 15 in.2.
A = bh
= (2.5)(6)
= 15
Quick Check
10-1
Area: ParallelogramsArea: ParallelogramsPRE-ALGEBRA LESSON 10-1PRE-ALGEBRA LESSON 10-1
Find each area.
1. rectangle ABFE
2. parallelogram ACFD
3. a rectangle with a base of 50 cm and a height of 5 cm
250 cm2
40 cm2
48 cm2
10-1
Area: Triangles and TrapezoidsArea: Triangles and Trapezoids
10-2
PRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
Find the area of a rectangle that is 3 ft wide and twice as high.12
24 ft212
Area: Triangles and TrapezoidsArea: Triangles and TrapezoidsPRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
(For help, go to Lesson 5-4.)
Find each product.
1. • 16 2. • 14 • 6
3. • 5 • 15 4. • 2 • 812
12
12
12
12
Check Skills You’ll Need
10-2
Area: Triangles and TrapezoidsArea: Triangles and TrapezoidsPRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
Solutions
1. • 16 2. • 14 • 6 • 168 = 8 • 147 • 6
7 • 6 = 42
3. • 5 • 15 4. • 2 • 8 • 75 = 37 • • 8
• • 82
5 • 2 = 10
12
121
12
121
12
12
12
12
12
12
52
121
521
10-2
Area: Triangles and TrapezoidsArea: Triangles and Trapezoids
Find the area of the triangle.
PRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
The area is 39 in.2.
A = bh Use the formula for area of a triangle.12
= • 13 • 6 Replace b with 13 and h with 6.12
= 39 Simplify.
Quick Check
10-2
Area: Triangles and TrapezoidsArea: Triangles and Trapezoids
Find the area of the figure.
PRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
Add to find the total: 450 + 1,350 = 1,800.
Area of triangle
A = bh12
= • 45 • 2012
= 450
Area of rectangle
A = bh
= 45 • 30
= 1,350
The area of the figure is 1,800 cm2.Quick Check
10-2
Area: Triangles and TrapezoidsArea: Triangles and Trapezoids
Suppose that, through the years, a layer of silt and mud
settled in the bottom of the Erie Canal. Below is the resulting cross
section of the canal. Find the area of the trapezoidal cross section.
PRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
The area of the cross section is 106.5 ft2.
A = h(b1 + b2) Use the formula for the area of a trapezoid.12
A = • 3(31 + 40) Replace h with 3, b1 with 31, and b2 with 40.12
= • 3(71) Simplify.12
= • 21312
= 106.5Quick Check
10-2
Area: Triangles and TrapezoidsArea: Triangles and TrapezoidsPRE-ALGEBRA LESSON 10-2PRE-ALGEBRA LESSON 10-2
Find each area.
1. trapezoid PQRU 2. triangle PTU
3. triangle QRS 4. trapezoid PQSU
28 ft2
192 ft2 20 ft2
164 ft2
10-2
Area: CirclesArea: Circles
10-3
PRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
Explain how this pattern works.
(15,873 7) 2 = (222,222)
(15,873 7) 3 = (333,333)
(15,873 7) 4 = (444,444)
because (15,873 7) 1 = (111,111)
Area: CirclesArea: CirclesPRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
(For help, go to Lesson 4-7.)
Simplify each expression.
1. 3.14 • 42 2. 3.14 • 52
3. 3.14 • 92 4. 3.14 • 0.52
Check Skills You’ll Need
10-3
Area: CirclesArea: CirclesPRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
Solutions
1. 3.14 • 42 2. 3.14 • 52
= 3.14 • 4 • 4 = 3.14 • 5 • 5= 50.24 = 78.5
3. 3.14 • 92 4. 3.14 • 0.52
= 3.14 • 9 • 9 = 3.14 • 0.5 • 0.5= 254.34 = 0.785
10-3
Area: CirclesArea: Circles
Find the exact area of a circle with diameter 20 in.
PRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
A = r 2
= (10)2 r = d; r = 1012
= 100 Simplify.
The area is 100 in.2.
Quick Check
10-3
Area: CirclesArea: Circles
A TV station’s weather radar can detect precipitation in a circular region having a diameter of 100 mi. Find the area of the region.
PRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
A = r 2
The area of the region is about 7,850 mi2.
= (50)2 r = d; r = 5012
= 2,500 exact area
(2,500)(3.14) Use 3.14 for .
= 7,850 approximate area
Quick Check
10-3
Area: CirclesArea: Circles
A pound of grass seed covers approximately 675 ft2. Find the
area of the lawn below. Then find the number of bags of grass seed
you need to buy to cover the lawn. Grass seed comes in 3-lb bags.
PRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
Area of region that is one fourth of a circle:
area of circle = r 2
area of quarter circle = r 2
A (3.14)(15)2 Replace with 3.14 and r with 15.
= 176.625 ft2
14
14
10-3
Area: CirclesArea: Circles
(continued)
PRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
Area of region that is a rectangle:
area of rectangle = bh
A = 45 • 25 Replace b with 45 and h with 25.
= 1,125 ft2
The area of the lawn is about 177 ft2 + 1,125 ft2 = 1,302 ft2.
You need to buy one 3-lb bag of grass seed.
1,302 ÷ 675 1.93 Divide to find the number of pounds of seed.
Quick Check
10-3
Area: CirclesArea: CirclesPRE-ALGEBRA LESSON 10-3PRE-ALGEBRA LESSON 10-3
Find the area.
1. Find the exact area of a circle with diameter 32 in.
2. A 5-ft-diameter round table is in a 12 ft-by-15 ft room.
a. What is the area covered by the table? Round to the nearest unit.
b. What is the area of the rest of the room? Round to the nearest unit.
160 ft2
20 ft2
256 in.2
10-3
Space FiguresSpace Figures
10-4
PRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
Find the area of a square 15.7 mm on each side.
246.49 mm2
Space FiguresSpace FiguresPRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
(For help, go to Lesson 9-3.)
Judging by appearance, classify each polygon.
1. 2.
3. 4.
Check Skills You’ll Need
10-4
Space FiguresSpace FiguresPRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
Solutions
1. triangle 2. square
3. rectangle 4. hexagon
10-4
Space FiguresSpace Figures
For each figure describe the bases and name
the figure.
PRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
The bases are circles.
a. b.
The figure is a cylinder.
The bases are rectangles.
The figure is a rectangular prism.
Quick Check
10-4
Space FiguresSpace Figures
Name the space figure you can form from each net.
PRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
With two hexagonal bases and rectangular sides, you can form a hexagonal prism.
a. b.
With a rectangular base and triangular sides, you can form a rectangular pyramid.
Quick Check
10-4
Space FiguresSpace FiguresPRE-ALGEBRA LESSON 10-4PRE-ALGEBRA LESSON 10-4
Describe the base(s) and name each solid.
1. 2.
3. Name the solid you can form from this net.
octagonal pyramid
circular base; cone triangular bases; triangular prism
10-4
Surface Area: Prisms and CylindersSurface Area: Prisms and Cylinders
10-5
PRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
A prism has 7 faces and 10 vertices. How many edges does theprism have?
15
Surface Area: Prisms and CylindersSurface Area: Prisms and CylindersPRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
(For help, go to Lesson 9-6.)
Find the circumference of each circle with the given radius or diameter.
1. r = 5 in. 2. r = 4.2 cm
3. d = 8 ft 4. d = 6.8 in.
Check Skills You’ll Need
10-5
Surface Area: Prisms and CylindersSurface Area: Prisms and CylindersPRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
Solutions
1. C = 2 r 2. C = 2 rC = 2(3.14)(5 in.) C = 2(3.14)(4.2 cm)C = 31.4 in. C = 26.4 cm
3. C = d 4. C = dC = (3.14)(8 ft) C = (3.14)(6.8 in.)C = 25.1 ft C = 21.3 in.
10-5
Surface Area: Prisms and CylindersSurface Area: Prisms and Cylinders
Find the surface area of the rectangular prism
using a net.
PRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
60 + 60 + 150 + 90 + 150 + 90 = 600 Add the areas.
The surface area is 600 cm2.
Draw and label a net.Find the area of each rectangle in the net.
Quick Check
10-5
Surface Area: Prisms and CylindersSurface Area: Prisms and Cylinders
Find the surface area of the rectangular prism.
PRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
The surface area of the rectangular prism is 500 in.2.
Step 1 Find the lateral area.
L.A. = ph Use the formula for lateral area.
= (5 + 6 + 5 + 6)20 p = 5 + 6 + 5 + 6 and h = 20
= 440
Step 2 Find the surface area.S.A. = L.A. + 2B = 440 + 2(5 • 6) L.A. = 440 and B = 5 • 6 = 440 + 60 = 500
Quick Check
10-5
Surface Area: Prisms and CylindersSurface Area: Prisms and Cylinders
Find the surface area of the cylindrical water tank.
PRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
The surface area of the water tank is about 1,156 ft2.
Step 1 Find the lateral area.
L.A. = 2 rh Use the formula for lateral area.
2(3.14)(8)(15)
754
Step 2 Find the surface area. S.A. = L.A. + 2B Use the formula for surface area. = L.A. + 2( r 2) 754 + 2(3.14)(8)2
1,156
Quick Check
10-5
Surface Area: Prisms and CylindersSurface Area: Prisms and CylindersPRE-ALGEBRA LESSON 10-5PRE-ALGEBRA LESSON 10-5
Find the surface area of each figure rounded to the nearest whole unit.
1. triangular prism with base perimeter 24 cm, base area 24 cm2, and height 15 cm
2. rectangular prism with base perimeter 30 cm, base area 50 cm2, and height 150 cm
3. cylindrical candle with radius 2 cm and height 16 cm
about 226 cm2
408 cm2
4,600 cm2
10-5
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
10-6
Give the number of faces, edges, and vertices of a rectangularprism.
6 faces, 12 edges, 8 vertices
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
(For help, go to Lesson 5-4.)
Use the Order of Operations to simplify each expression.
1. (9 ) + (8 ) 2. (12 ) + (15 )
3. (24 ) + (3 ) 4. (32 ) + (14 )
23
12
34
25
16
13
58
17
Check Skills You’ll Need
10-6
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
Solutions
1. • 93 + • 84 2. • + •
= 6 + 4 = 9 + 6 = 10 = 15
3. • 244 + • 31 4. • 324 + • = 4 + = 20 + 2= 5 = 22
231
121
341
251
161
131
581
171
10-6
153 123
142
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and Spheres
Find the surface area of the square pyramid.
PRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
The surface area of the pyramid is 105 m2.
Step 1 L.A. = p Use the formula for lateral area.12
= • 20 • 8 = 80 p = 4(5) and = 8.12
Step 2 S.A. = L.A. + B = 80 + 52 Lateral area = 80 and B = 52. = 80 + 25 = 105
Quick Check
10-6
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and Spheres
Find the surface area of the cone.
PRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
The surface area of the cone is about 94 m2.
Step 1 L.A. = r Use the formula for lateral area.
3.14(3)(7) r = 3 and = 7.
= 65.94
Step 2 S.A. = L.A. + B Use the formula for surface area.
65.94 + 3.14(3)2 L.A. 65.94 and B = (3)2.
= 65.94 + 28.26
= 94.2Quick Check
10-6
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and Spheres
Earth has an average radius of 3,963 mi. What is Earth’s approximate surface area to the nearest 1,000 mi2? Assume that Earth is a sphere.
PRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
The surface area of Earth is about 197,259,000 mi2.
S.A. = 4 r 2 Use the formula for surface area.
= 197,259,434.64 Multiply.
197,259,000 Round to nearest 1,000.
4(3.14)(3,963)2 r 3,963
Quick Check
10-6
Surface Area: Pyramids, Cones, and SpheresSurface Area: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-6PRE-ALGEBRA LESSON 10-6
Find the surface area of each space figure. Round to the nearest whole unit.
1. a square pyramid with base edge 80 m and slant height 100 m
2. a cone with slant height 22 cm and radius 7 cm
3. a sphere with radius 12 cm
about 1,809 cm2
22,400 m2
about 637 cm2
10-6
Volume: Prisms and CylindersVolume: Prisms and Cylinders
10-7
PRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
Use graph paper. Design and draw a diagram to determine whichhas the greater area—a square with sides 10 cm or a circle with adiameter 10 cm?
Draw a circle within the square to prove that the square has the greater area.
Volume: Prisms and CylindersVolume: Prisms and CylindersPRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
(For help, go to Lesson 10-3.)
Find the area of each circle.
1. 2. 3.
Check Skills You’ll Need
10-7
Volume: Prisms and CylindersVolume: Prisms and CylindersPRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
Solutions
= (82)( ) = (122)( )
= 64(3.14) = 144(3.14)
201 cm2 452.2 cm2
12= (20)
= 10A = r2
= (102)( )
= 100(3.14)
314 cm2
10-7
1. A = r2 2. A = r2 3. r = d12
Volume: Prisms and CylindersVolume: Prisms and Cylinders
Find the volume of the triangular prism.
PRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
The volume is 1,260 cm3.
V = Bh Use the formula for volume.
= 63 • 20 B = • 9 • 14 = 63 cm212
= 1,260 Simplify.
Quick Check
10-7
Volume: Prisms and CylindersVolume: Prisms and Cylinders
Find the volume of the juice can, to the nearest cubic centimeter.
PRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
The volume is about 581 cm3.
V = Bh Use the formula for volume.
V = r 2h B = r 2
= 580.7744 Simplify.
3.14 • 3.42 • 16 Replace r with 3.4, and h with 16.
Quick Check
10-7
Volume: Prisms and CylindersVolume: Prisms and CylindersPRE-ALGEBRA LESSON 10-7PRE-ALGEBRA LESSON 10-7
Find the volume of each space figure.
1. rectangular prism with base 12 m by 14 m and height 50 m
2. cylindrical pool with diameter 24 ft and height 4 ft
3. right triangular prism with base legs 8 cm and 10 cm and height 20 cm
800 cm3
8,400 m3
about 1,808.64 ft3
10-7
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a Model
10-8
PRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
A roll of wallpaper is 24 in. wide. You used all but 4 ft of one roll.Another roll has 7 ft of wallpaper on it. What is the total area you can cover with the remaining wallpaper?
12
23 ft223
13
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a ModelPRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
(For help, go to Lesson 9-3.)
Draw each figure described below.
1. a rectangle with small squares drawn in each corner
2. a rectangle divided into eight congruent rectangles
3. two parallelograms that have different shapes but the same perimeter
Check Skills You’ll Need
10-8
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a ModelPRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
SolutionsAnswers may vary. Samples:
1. 2.
3.
10-8
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a Model
A can company rolls rectangular pieces of metal that measure 8 in. by 10 in. to make the sides of cans. Which height, 8 in. or 10 in., will make the can with the greater volume?
PRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
Build two cans using 8 in.-by-10 in. pieces of paper. You do not need to make the bases, just the sides.
not to scale
10-8
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a Model
(continued)
PRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
The volume of the can with height 8 in. is greater.
V = r 2h
(3.14)(1.32)(10)
53.1 in.3
V = r 2h
(3.14)(1.62)(8)
64.3 in.3
Find the volumes.
not to scale
Measure your models to find approximate radii.Radius of 10-in. high can 1.3 in.Radius of 8-in. high can 1.6 in.
Quick Check
10-8
Problem Solving Strategy: Make a ModelProblem Solving Strategy: Make a ModelPRE-ALGEBRA LESSON 10-8PRE-ALGEBRA LESSON 10-8
Solve.
1. You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create
a box with no lid. To the nearest centimeter, what are the dimensions of the box that will have the greatest volume?
20 cm by 28 cm by 6 cm
10-8
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and Spheres
10-9
PRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
Multiply. Write each answer in simplest form.
a. 3
b. 1 2
c.
1 78
34
12
17
25
2 716
2 35
18
16
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
(For help, go to Lesson 5-4.)
Multiply.
1. (3.14)(2)2(5) 2. (4)2(6)
3. (3.14)(2)3 4. (3.14)(0.5)3
13
13
43
43
Check Skills You’ll Need
10-9
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
Solutions
1. (3.14)(22)(5) = (3.14)(4)(5) 2. (42)(6) = (16)(6)
= (62.8) = (96)
= 20.93 = 32
3. (3.14)(23) = (3.14)(8) 4. (3.14)(0.5)3 = (3.14)(0.125)
= (25.12) = (0.3925)
= 33.493 = 0.523
13
1313
13
1313
43
4343
13
4343
10-9
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and Spheres
Find the volume of the cone.
PRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
V = Bh Use the formula for volume.13
V = r 2h B = r 213
(3.14)(2)2(12) Replace r with 2 and h with 12.13
= 50.24 Simplify.
The volume of the cone is about 50 in.3.Quick Check
10-9
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and Spheres
Find the volume of the square pyramid.
PRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
The volume of the pyramid is 256 in.3.
V = Bh Use the formula for volume.13
V = s 2h B = s213
= (8)2(12) Replace s with 8 and h with 12.13
= 256 Simplify.Quick Check
10-9
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and Spheres
Earth has an average radius of 3,963 mi. What is Earth’s approximate volume to the nearest 1,000,000 mi3? Assume that Earth is a sphere.
PRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
The volume of the Earth is about 260,580,000,000 mi3.
V = r 3 Use the volume formula.43
(3.14)(3,963)3 Replace r with 3,963.43
260,579,713,159 Simplify.
Quick Check
10-9
Volume: Pyramids, Cones, and SpheresVolume: Pyramids, Cones, and SpheresPRE-ALGEBRA LESSON 10-9PRE-ALGEBRA LESSON 10-9
Find the volume of each space figure to the nearest unit.
1. a cone with diameter 9 cm and height 12 cm
2. a square pyramid with base edges 12 m and height 18 m
3. a basketball with diameter 10 in.
about 523 in.3
about 254 cm2
864 m3
10-9