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  • 02-04-2021
  • Mathematics
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A right rectangular prism has a right triangular prism-shaped hole through it. What is the volume of the shape? Show your work.

A right rectangular prism has a right triangular prismshaped hole through it What is the volume of the shape Show your work class=

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akposevictor
akposevictor akposevictor
  • 07-04-2021

Answer:

Volume of the shape = 1,190 in.³

Step-by-step 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

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