Question

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

Answer 1

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.