Question

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

Answer 1

The volume of the prism = 14 ft³

Solution:

Number of cubes in the prism = 1750

Edge length of each cube (a) = $\frac{1}{5}$ ft

To find the volume of each cube:

Volume of each cube = a³

                                    $=\left(\frac{1}{5} \right)^3$

Volume of each cube $=\frac{1}{125} \ \text{ft}^3$

To find the volume of the prism:

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

                                  $=\frac{1}{125} \ \text{ft}^3\times 1750$

                                  = 14 ft³

The volume of the prism = 14 ft³