Volume of Prisms

Ms. Hernandez is trying to solve for the volume of a triangular prism. A picture is shown. Label the base of the prism and the height.

b

a

height

base

Ms. Nolan is trying to solve for the volume of a rectangular prism. A picture is shown. Label the base of the prism and the height.

b

a

height

base

Ms. Blancarte is trying to solve for the volume of a rectangular prism. The length of the base is 14 inches and the width is 5cm. The height of the prism is 11 cm. Drag and drop values to complete the equation to solve for volume. Pay attention to what values are currently there.

b

c

14

11

30

5

70

Ms. Johnson is trying to solve for the volume of a triangular prism. The height of the triangular base is 8 inches and the base is 4 inches. The height of the prism is 10 inches. Drag and drop a value to complete the equation. Pay attention to what values are there.

e

c

16

4

10

8

½

Match each prism to the formula that would be used to calculate the volume.

• V= ( 1.4 × 4) 3

• A cereal box has a base that is 5 inches wide and 8 inches long. The height of this box is 17 inches.

• V= ( 8 × 5) 17

• 
• V= (½ × 6 × 4) 16

• 
• V= (½ × 8 × 3) 13

• 

Solve for area of the base of the following prisms.

• B= 40 cm ²

• 
• B= 5.6 cm ²

• 
• B= 48 cm ²

• 
• B= 12 cm ²

• A cereal box has a base that is 5 centimeters wide and 8 cm long. The height of this box is 17 cm.

Kayla plants to fill her flowerbed with soil. A picture is shown. What is the volume of this flower bed?

• 12 ft ³

• 14.5 ft³

• 30 ft³

• 15 ft³

A triangular prism figure is shown. What is the volume of the shape?

• 42 cm³

• 35 cm³

• 21 cm³

• 3 cm³

An fish tank is in the shape of a rectangular prism. The base of the fish tank is 3 feet by 8 feet. The height of the fish tank is 10 feet. What is the volume of the fish tank in cubic feet?

• 240 cubic feet
• 15 cubic feet
• 64 cubic feet
• 30 cubic feet

• 55 yd³
• 121 yd³
• 22 yd³
• 330 yd³