Question

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answer 1

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Explanation:

Length of small cube =
`(1)/(2) ft`

Volume of each cube = Side^3

Volume of each cube =
`((1)/(2))^3`

=
`(1)/(8) ft^3`

Volume of 64 cubes =
`64 * (1)/(8)`

Volume of 64 cubes
`= 8 ft^3`

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet