Question

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A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 14 square centimeters. The volume of a​ cube-shaped block is 343 cubic centimeters.
a. Which edge length can be​ found? Explain.
b. Will the block fit in the square​ hole? Explain.

a. Since (14/343) is a perfect (cube/square) the length of each edge of the (hole/block)
can be found. Each edge is __ centemeters long.

Answer 1

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

The explanation is shown below:

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.