Question

If the volume of a cube is 1728 cm3, then the length of its edge is equal to

Answer 1

Answer

This question is inverse of finding volume of a cube.

ln general questions we are given the edge of cube and we have to find the volume now in this question we inverse our steps as shown below.

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Given that volume of a cube is 1728cm^3.

Also,

We know that volume of a cube with edge x

is given by

$Volume = {x}^{3}$

So, we can find value of x by comparing both volumes

As,

${x}^{3} = 1728 \\ x = \sqrt[3]{1728} \\ x = \sqrt[3]{12 \times 12 \times 12} \\ x = 12cm$

Hence, edge of the cube volume is 728 cm^3 is 12 cm.

Answer 2

Answer:

volume is given so

${a}^{3} = 1728 \\ a = \sqrt[ 3]{1728} \\ a = 12$

Mark as brainliest answer.