Question

A right rectangular prism has a right triangular prism-shaped hole through it. What is the volume of the shape? Show your work.

Answer 1

Volume of the shape = 1,190 in.³

Explanation:

The volume of the shape = volume of the rectangular prism - volume of the right triangle prism

= L*W*H - ½*b*h*l

Where,

L = 20 in.

W = 8 in.

H = 8 in.

b = 3 in.

h = 3 in.

l = 20 in.

Plug in the values

Volume of the shape = 20*8*8 - ½*3*3*20

= 1,280 - 90

= 1,190 in.³