Question

Jerome completely filled a box with cubes that measures 1/4 inch along each edge. When he finished filling the box, he counted and found he had used a total of 960 cubes. What is the volume of the box Jerome filled?

Answer 1

240 cubic inches

Explanation:

Size of each cube = 1/4 inch

Dimensions of a cube = Length * Breadth * Height

= x^3
Area of each cube = 1/4^3

= 1/4 * 1/4 * 1/4

= 1/4*4*4

= 1/64 cubic inches

Number of cubes in the box = 960 cubes

Volume of the box = Number of cubes in the box * Area of each cube

= 960*1/4

= 960/4

= 240 cubic inches

Answer 2

Since each cube has volume (1/4)³ = 1/64 cubic inches, the total volume of 960 cubes is 960/64 = 15 cubic inches. Therefore, the volume of the box is 15 cubic inches.