46.8k views
5 votes
This prism has a right triangle for a base. What is the volume of the prism ?

This prism has a right triangle for a base. What is the volume of the prism ?-example-1
User Linnette
by
8.3k points

2 Answers

4 votes
Because the base has a right angle and side 4 with a hypotenuse of 5, the Pythagorean theorem of a^2+b^2=c^2 (4^2 + b^2=5^2, 16+b^2=25) tells me the missing side is 3. Then, calculate the volume of a full rectangular prism l•w•h, or 8x4x3, which is 96. Divide that in half to find the volume of the triangular prism (96/2=48). Because no units appear on the diagram, the volume is 48 cubic units. Peace!
User Tim Klein
by
8.2k points
0 votes

Explanation:

0.5×3×4= 6cm^2

6×8

=48cm^3

User Nick Dowell
by
8.2k 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