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The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic centimeters.


A solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it is shown. The rectangular prism is 20 centimeters long, 5 centimeters wide, and 5 centimeters high. The rectangular prism-shaped-hole is 20 centimeters long, 2 centimeters wide, and 2 centimeters high.

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The volume of the solid is 420 cm³

Step-by-step explanation:

The volume a rectangular prism is calculated as the product of its length, width and height.

Mathematically, V=l*w*h where l is length of the prism, w is width and h is the height

Given that the dimensions of the rectangular prism as;

Length=20 cm

Width= 5 cm

Height = 5 cm

V=20*5*5= 500 cm³

The rectangular prism shaped hole dimensions are;

Length= 20 cm

width= 2 cm

Height= 2 cm

Volume= 20*2*2=80 cm³

The volume of the solid will be: volume of rectangular prism-volume of the hole

Volume= 500-80=420 cm³

Learn More

Volume of a rectangular prism : https://brainly.com/question/11906792

Keywords : Volume, rectangular prism, cubic centimeters

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