Volume of Rectangular & Triangular Prisms

STAAR Chart Formula V = Bh*

*where B equals the area of the base

Since the base shape of a rectangular prism is a rectangle, we replace B with the formula for the area of rectangle which = bh.

Giving us … V = (bh)h

1. Figure name______________

Shape of base?

rectangle

Height of figure 10 in

V = Bh

V = (bh)h

V = (4·3)(10)

V = 12·10 = 120 in³

3in4in

10 in

Rectangular prism

1. Figure name______________ Shape of

base?

square

Height of figure

3 in

V = Bh

V = (bh)(h)

V = (3·3)(3)

V = 27 in³

3in3in

3 in

cube

Volume of Triangular Prisms

STAAR Chart Formula V = Bh**where B equals the area of the base and h equals the distance between the basesSince the base shape of a triangular prism

is a triangle, we replace B with .

Specific formula:

bh21

hbh21

V

1. Figure name______________

Shape of the base?

triangle

Height of figure

10 cm

V = Bh

V = (½bh)(h)

V = (½ ·3·4)(10)

V = 6·10 = 60 cm³

3 cm

4cm

10 cm

triangular prism

1. Figure name______________ Shape of

base?

triangle

Height of figure 10 m

V = Bh

V = (½ bh)(h)

V = (½ · 6 · 4)(10)

V = 12 · 10 = 120 m³

6 m

10 m

4 m

triangular prism