Question

The volume of a triangular prism is 264 cubic feet. The area of a base of the prism is 48 square feet. What is the height of the prism?

Answer 1

5.5 cm

Step-by-step explanation:

The volume of a prism is the area of a base multiplied by the height of the prism.

V = base area x height

264 = 48 x h

h = 264÷48= 5.5 cm

Answer 2

The height of the prism is 5.5 ft

Explanation:

The formula for the volume of a triangular prism of base area b and height h is

V = (1/3)(b)(h).

Here we are told that V = 264 ft³. Thus,

V = 264 ft³ = (48 ft²)(h).

Solving for h, we get:

264 ft³

h = ------------- = 5.5 ft

48 ft²

The height of the prism is 5.5 ft