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:
[tex]Area=Side^{2}\\Side=\sqrt{A}\\Side=\sqrt{8cm^{2}}\\ Side=2.82cm[/tex]
3. You must use the formula for calculate the volume of a cube and solve for the side:
[tex]Volume=Side^{3}\\Side=\sqrt[3]{Volume}\\Side=\sqrt[3]{64cm^{3}}\\Side=4cm[/tex]
4. The sides of are not equal, therefore, the block will not fit in the square hole.
