how many one-third inch cubes would fit inside the right rectangular prism

Answer 1

To determine how many one-third inch cubes would fit inside a right rectangular prism, we need to find the volume of the prism and then divide it by the volume of a one-third inch cube.

The volume of a right rectangular prism is calculated by multiplying its length, width, and height. Let's say the length of the prism is L inches, the width is W inches, and the height is H inches.

Volume of the prism = L x W x H

Now, the volume of a one-third inch cube is calculated by multiplying its side length (1/3 inch) by itself twice.

Volume of one-third inch cube = (1/3)^3 = 1/27 cubic inches

So, if we divide the volume of the prism by the volume of a one-third inch cube, we will get the number of cubes that can fit inside.

Number of cubes = Volume of the prism / Volume of one-third inch cube
Number of cubes = (L x W x H) / (1/27)

Therefore, the number of one-third inch cubes that can fit inside the right rectangular prism is equal to the volume of the prism divided by 1/27.