22. 22. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1...
21
22. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep. EOC Practice What is the maximum number of supply boxes can she pack in this crate? A. 200 B. 300 C. 450 D. 600 = = =( )( )( ) = = =( . )( )( ) = Γ· =
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Transcript of 22. 22. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1...
22. Rebecca is loading medical supply boxes into a crate. Each supply box is 1.5 feet tall, 1 foot wide, and 2 feet deep. The crate is 9 feet high, 10 feet wide, and 10 feet deep.
EOC Practice
What is the maximum number of supply boxes can she pack in this crate?
A. 200
B. 300
C. 450
D. 600
π½=π©ππ½=ππππ½=(ππ)(ππ)(π)π½=πππ πππ
π½=ππππ½=(π .π)(π)(π)π½=π πππ
πππΓ·π=πππ
23. How many vertices does the polyhedron below have?
EOC Practice
A. 8
B. 10
C. 12
D. 20
24. What is the volume of the figure below?
EOC Practice
A 86 cubic inches
B 104 cubic inches
C 117 cubic inches
D 171 cubic inches
π½=π πππ+πππ πππ
π½=π©π+πππ©π
π½=(πππ )+ (ππ π )
π½=π (π)π βππ+πππ (π)π βπ
π½=πππ π
25. What is the area of isosceles trapezoid ABCD?
EOC Practice
A 62.5 square units
B 75.0 square units
C 76.4 square units
D 150 square units
π¨=πππ (ππ+ππ )
π¨=ππ
(π)(ππ+ππ )
26. What is the area of a right triangle with legs of length 9 cm and 12 cm and a hypotenuse of length 15 cm?
EOC Practice
π¨=ππππ
π¨=ππ
(π)(ππ)
π¨=πππππ
27. If the volume of a rectangular prism is 420.75 cubic centimeters and the area of the base is 49.5 square centimeters, what is the height of the prism in centimeters?
EOC Practice
A 4.5B 8.5C 11.0D 15.5
π½=π©ππππ .ππ=ππ .ππ
π .π=π
28. A sector of a circle is created from a central angle with a measure of 60ΒΊ. If the diameter of the circle is 6 inches, what is the area of the sector?
EOC Practice
A B C D
ππ¨π ππ‘ππππππ¨π«=ππ¨πππππΒ°
Γπ π π
ΒΏππΒ°πππΒ°
Γπ (π)π
ΒΏπ .ππ πππ
29. In the figure below, the two triangular faces of the prism are right triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism?
EOC Practice
πΊπ¨=π·π+ππ©πΊπ¨=(π+π+π )π+π (ππ βπ βπ)πΊπ¨=ππ+πππΊπ¨=ππ
30. Which unit is appropriate for describing the surface area of the 4-sided pyramid below?
EOC Practice
A B C D
πππππππππ /ππππππππππππππ¨πππ /πΊπ¨π½πππππ
31. A paper cone is cut open with a single straight cut as shown.
EOC Practice
Which term BEST describes the straight cut shown?
A height
B slant height
C radius
D diameter
32. A company packages their product in two sizes of cylinders. Each dimension of the larger cylinder is twice the size of the corresponding dimension of the smaller cylinder.
EOC Practice
Based on this information, which of the following statements is true?
A The volume of the larger cylinder is 2 times the volume of the smaller
cylinder.
B The volume of the larger cylinder is 4 times the volume of the smaller
cylinder.
C The volume of the larger cylinder is 8 times the volume of the smaller
cylinder.
D The volume of the larger cylinder is 6 times the volume of the smaller
cylinder.
33. At a garage sale, Jason bought an aquarium shaped like a truncated cube. A truncated cube can be made by slicing a cube with a plane perpendicular to the base of the cube and removing the resulting triangular prism, as shown in the cube diagram below.
EOC Practice
What is the capacity, in cubic inches, of this truncated cube aquarium?
1 1 1 2 4
34. Abraham works at the Delicious Cake Factory and packages cakes in cardboard containers shaped like right circular cylinders with hemispheres on top, as shown in the diagram below.
EOC Practice
Abraham wants to wrap the cake containers completely in colored plastic wrap and needs to know how much wrap he will need. What is the total exterior surface area of the container?
A. square inches C. square inches
B. square inches D. square inches
πΊπ¨=ππ π π π
πΊπ¨=π·π+π©
πΊπ¨=ππ (π)π
π
πΊπ¨=πππ
πΊπ¨=(ππ π )π+π π π
πΊπ¨=(π βπ βπ )π+π (π)π
πΊπ¨=ππ π +ππ π πΊπ¨=πππ πππ +πππ =ππππ πππ
35. A right circular cone has radius 5 inches and height 8 inches.
EOC Practice
What is the lateral area of the cone?
π³π¨=πππ· β
ΒΏππ
(ππ π )β
βπ=ππ+ππ
βπ=ππ+ππ
β=βππ
ΒΏππ
(π βπ βπ)βππ
ΒΏππ βππ πππ
36. If a cylindrical barrel measures 22 inches in diameter, how many inches will it roll in 8 revolutions along a smooth surface?
EOC Practice
ππππ
37. The minute hand of a clock is 5 inches long. What is the area of the circle, in square inches, created as the hand sweeps an hour?
EOC Practice
πππ
38. A classroom globe has a diameter of 18 inches.
EOC Practice
Which of the following is the approximate surface area, in square inches, of the globe?
ππππ .π
39. Figure ABCD is a kite.
EOC Practice
What is the area of figure ABCD, in square centimeters?
ππππππ
40. What is the first step in constructing the angle bisector of angle A?
EOC Practice
A Draw ray .
B Draw a line segment connecting points B and C.
C From points B and C, draw equal arcs that intersect at D.
D From point A, draw an arc that intersects the sides of the angle at points B and C.
41. Marsha is using a straightedge and compass to do the construction shown below.
EOC Practice
Which best describes the construction Marsha is doing?
A a line through P parallel to line l
B a line through P intersecting line l
C a line through P congruent to line l
D a line through P perpendicular to line l
42. Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?
EOC Practice
![Untitled-1 [static.squarespace.com]Β Β· The crate turned out to be about 15 feet long, 6 feet wide, and 5 feet high. It was so well built, it later became a playhouse for our daughters.](https://static.fdocuments.net/doc/165x107/5f960ca50f20d2411c212f91/untitled-1-the-crate-turned-out-to-be-about-15-feet-long-6-feet-wide-and-5.jpg)
