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A three-dimensional L-shaped figure is made of two rectangular prisms joined at a right angle. A horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. A vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. What is the total volume of the composite figure?

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oladayoademosu

The total volume of the composite figure is 64 in³.

Volume of a rectangular prism

The volume of a rectangular prism, V = lwh where

  • l = length,
  • w = width and
  • h = height

Volume of horizontal rectangular prism

Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,

  • l = 8 in,
  • w = 2 in and
  • h = 2 in.

So, its volume V' = lwh

= 8 in × 2 in × 2in

= 32in³

Volume of vertical rectangular prism

Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,

  • l = 2 in,
  • w = 2 in and
  • h = 8 in.

So, its volume V" = lwh

= 2 in × 2in × 8 in

= 32 in³

Volume of composite figure

The volume of the composite figure V"' = V' + V"

= 32 in³ + 32 in³

= 64 in³

So, the total volume of the composite figure is 64 in³.

Learn more about volume of rectangular prism here:

https://brainly.com/question/16065525

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