Question

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 8 square centimeters. The volume of the cube-shaped block is 64 cubic centimeters.

Part A
Which edge length can you find? Explain






Part B
Will the block fit in the square hole? Explain

Answer 1

The answer is: The block will not fit in the square hole.

The explanation is shown below:

Explanation:

1. You need to calculate the side of the square hole and the area of the cube shaped block.

2. You must use the formula for calculate the area of a square and solve for the side:

3. You must use the formula for calculate the volume of a cube and solve for the side:

4. The sides of are not equal, therefore, the block will not fit in the square hole.