Question

arious shaped objects that a child can push through matching holes. the area of the square hole is 10 square centimeters. the volume of a 5 is a perfect cube, the length of each edge of the block can be found. each edge is 5 centimeters long. f one face of the block is square centimeters. since this is than the area of the hole, the block fit in the hole.

Explanation:

Step1: Calculate area of one - face of the cube

The area of one face of a cube with edge length $a$ is $A = a^{2}$. Given $a = 5$ cm, so $A=5^{2}=25$ square centimeters.

Step2: Compare areas

We compare the area of one - face of the cube ($25$ square centimeters) with the area of the hole ($10$ square centimeters). Since $25>10$, the block will not fit in the hole.

Answer:

The area of one face of the block is 25 square centimeters. Since this is greater than the area of the hole, the block will not fit in the hole.