A diagram of a rectangular prism filled with unit cubes is shown below. Each unit cube has
1 answer:
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.
<h3>Rectangular Prism and Cube</h3>
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.
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