Question

A cube shaped box has a volume of 64 cubic inches if the box is packed full of cubes with edges of 1 inch what will be the area of the face of the box

Answer 1

10.67 square inches

Explanation:

Since the volume of the cube-shaped box is 64 cubic inches and each of the smaller cubes has an edge length of 1 inch, the number of smaller cubes needed to fill the box is 64.

Since the box is a cube, it has six equal faces. Since each face of the box is made up of smaller cubes with an edge length of 1 inch, the area of each face of the box is equal to the number of cubes that make up the face.

Therefore, the area of each face of the box is 64 divided by the number of faces, which is 6.

Area of each face = 64 / 6 = 10.67 square inches (rounded to two decimal places)

So, the area of each face of the box is approximately 10.67 square inches.