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Because a cube is composed of square sides, the edges of each square will be the same length. Therefore if the perimeter of the base is 20 cm, one side would be 5 cm. 4 sides on a square, therefore 20cm/4 = 5 cm.

The formula to find the volume of a cube is length x width x height. Like I stated previously, every edge on a cube has the same length. Because of this the length of the cube is equal to the width of the cube and the width of the cube is equal to the height of the cube.

Therefore volume of the cube would equal 5cm x 5cm x 5cm, which equals 125 cm.

Therefore the volume of a cube that has a perimeter of 20cm for the square base is 125cm cubed.

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Q: What is the volume of the cube if the perimeter of the square base of the cube is 20 cm?
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The expression 4 ∙ √125 3 gives the perimeter of the base of a cube with a volume of 125cubic inches. What is the length, in inches, of the perimeter of its base?

To find the length, in inches, of the perimeter of the base of the cube with a volume of 125 cubic inches, we need to calculate the perimeter of the base using the given expression: 4 ∙ √125. The expression √125 represents the square root of 125, which is equal to 11.18 (rounded to two decimal places). Now, we can calculate the perimeter of the base by multiplying 4 by the square root of 125: Perimeter = 4 ∙ √125 = 4 ∙ 11.18 = 44.72 (rounded to two decimal places) Therefore, the length of the perimeter of the base of the cube is approximately 44.72 inches.


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