179k views
21 votes
A triangular prism has a height of 12 cm. The triangular base is a right triangle whose side lengths are 3 cm, 4 cm, and 5 cm. What is the total surface area?

1 Answer

5 votes

Answer:

The volume of the prism is 72 cubic cm.

Explanation:

This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is

3 cm. * 4 cm. / 2 = 6 square cm.

Lastly, the volume of the prism is the base area multiplied by the height:

6 square cm. * 12 cm. = 72 cubic cm.

User Tomsv
by
8.1k 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