Question

The prism is completely filled with 1750 cubes that have edge length of 15 ft.

What is the volume of the prism?

Answer 1

The volume of the prism = 14 ft³

Solution:

Number of cubes in the prism = 1750

Edge length of each cube (a) =
`(1)/(5)` ft

To find the volume of each cube:

Volume of each cube = a³

`$=\left((1)/(5) \right)^3`

Volume of each cube
`$=(1)/(125) \ \text{ft}^3`

To find the volume of the prism:

Volume of the prism = Volume of each cube × Number of cubes

`$=(1)/(125) \ \text{ft}^3* 1750`

= 14 ft³

The volume of the prism = 14 ft³