16.9k views
2 votes
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?

User Pkacprzak
by
8.1k points

2 Answers

1 vote

Answer:

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

User Mike Davlantes
by
8.0k points
3 votes

Answer:

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

User Jacob Socolar
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories