Math, asked by Arsh8288, 10 months ago

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

Answers

Answered by SparklingBoy
28

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.

________________________________

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.

Answered by Bjzelmb
17

Answer:

volume is given so

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

Mark as brainliest answer.

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