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A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has

side lengths measuring 1 foot.

What is the volume, in cubic feet, of the rectangular prism?
A. 12
B. 13
C. 54
D. 72

User Steve Emmerson
by
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1 Answer

14 votes
14 votes

The volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

Hence, Option D) 72ft³ is the correct answer.

Rectangular Prism and Cube

A rectangular prism is simply a three-dimensional solid shape with six faces which are rectangles.

The volume of a rectangular prism is expressed as;

V = l × w × h

Where l is length, w is width and h is height of the prism

A cube is a three-dimensional solid with six equal square-shaped sides.

Given the data in the question;

  • Length of the sides of the cube = 1 foot
  • Length of the rectangular prism l = 4 cubes × 1 foot = 4ft
  • Width of the rectangular prism w = 3 cubes × 1 foot = 3ft
  • Height of the rectangular prism l = 6 cubes × 1 foot = 6ft

To determine the volume of the rectangular prism, we substitute our given values into the expression above.

V = l × w × h

V = 4ft × 3ft × 6ft

V = 72ft³

Option D) 72ft³ is the correct answer.

Hence, the volume of the rectangular prism filled with unit cubes each measuring the value of the length given is 72ft³.

A diagram of a rectangular prism filled with unit cubes is shown below. Each unit-example-1
User Shihongzhi
by
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