Question

A storage box has a volume of 56 cubic inches. The base of the box is 4 inches by 4 inches. Lin’s teacher uses the box to store her set of cubes with an edge length of 1/2 inch.If the box is completely full how many cubes are in the set?

Answer 1

To answer this question, we have to find the volume of one of the cubes from Lin's set. To do it use the formula to find the volume of a cube, which is the edgelength raised to 3:

`\begin{gathered} V=ed^{3^{}} \\ V=((1)/(2))^3 \\ V=(1)/(8) \end{gathered}`

In this case, each cube has a volume of 1/8 cubic inches. To find the number of cubes in the set, perform the division of the volume of the box by the volume of one cube:

`n=(V_(box))/(V_(cube))=(56)/((1)/(8))=8\cdot56=448`

The set has 448 cubes.