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brilliants [131]
2 years ago
8

A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 12 square centimet

ers. The volume of a​ cube-shaped block is 216 cubic centimeters.
a. Which edge length can be​ found? Explain.
b. Will the block fit in the square​ hole? Explain.
Mathematics
1 answer:
dmitriy555 [2]2 years ago
6 0

The edge length that can be​ found is 6 cm

The  block will not fit in the square​ hole.

<h3>How to find the volume of a cube?</h3>

We are given that the volume of a​ cube-shaped block is 216 cubic centimeters.

Thus;

V = 216  cubic centimeters.

Now, volume of a cube = a³

where x is an edge length

Thus;

a³ = 216

a = ∛216

a = 6 cm

The edge length that can be​ found is 6 cm

b) To know if the block will fit into the square hole, we need to find the area of one side of the block

Area of one side of block = 6 * 6 = 36 cm²

This is greater than the area of the square hole and as such the  block will not fit in the square​ hole

Read more about Volume of a cube at; brainly.com/question/1882850

#SPJ1

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