# The volume of one cube is 27 cm3 and is 21.6% of the volume of the other cube. Find the perimeter of the face

July 26, 2021 | education

| **The volume of one cube is 27 cm3 and is 21.6% of the volume of the other cube. Find the perimeter of the face of the larger cube.**

First, you need to determine the volume of the large cube.

To do this, we divide the volume of the known cube by the percentage of the volume of the large cube.

Thus, we get:

27 / 21.6% / 100% = 27 / 0.216 = 125 cm3

Since the volume is the product of all sides of the figure (height, width and length), then the length of the side of the large cube will be:

3√125 = 5 cm.

In this case, the perimeter of all faces of one of the sides of the large cube will be equal to:

5 + 5 + 5 + 5 = 20 cm.

Method 2.

5 * 4 = 20 cm.

Answer:

Perimeter 20 cm.

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