Question

The rectangular prism shown below is made of unit cubes with no gaps or overlaps between the cubes. 1 unit cube. Write an addition equation to find the volume of the prism.

Answer 1

To find the volume of the rectangular prism, use the addition equation

V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.

Step-by-step explanation:

The student asked to find the volume of a rectangular prism made up of unit cubes using an addition equation.

To find the volume of a rectangular prism made of unit cubes, you need to count the total number of unit cubes used in its construction.

If there are L layers in the length, W layers in the width, and H layers in the height, the volume V can be expressed as:

`\[ V = L * W * H \]`

Since each layer contributes one unit cube per dimension, you can write the addition equation for the volume by adding the number of unit cubes along each dimension:

V = L + W + H

This represents the addition of the number of unit cubes in the length, width, and height to find the total volume of the rectangular prism.

Since each unit cube has a volume of 1 cubic unit, the volume of the prism can be represented as an addition equation by adding together the LWH individual unit cubes.

For example, if the prism were 5 unit cubes long, 3 unit cubes wide, and 2 unit cubes high, the volume V would be 5 x 3 x 2 = 30 cubic units, which is equivalent to the sum of individual unit cubes: 1+1+1+...+1 (30 times).