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The volume of a plastic storage cube is 27,000 cubic centimeters. What is the edge length of the storage cube? How do you know?

Verified Answer :

Answer:

The edge length of the storage cube is 30 centimeter.

Step-by-step explanation:

Given : The volume of a plastic storage cube is 27,000 cubic centimeters.

To find : What is the edge length of the storage cube?    

Solution :

The volume of a plastic storage cube is 27,000 cubic centimeters.

Edge length of the cube is 's'

The volume formula is given by,

\(V=s^3\)

Substitute, V=27000

\(27000=s^3\)

Taking cube both side,

\(s=\sqrt[3]{27000}\)

\(s=30\)

Therefore, The edge length of the storage cube is 30 centimeter.

The edge length of the storage cube is 30 centimetre.

We have given that,

The volume of a plastic storage cube is 27,000 cubic centimetres.

Edge length of the cube is 'l'

What is the volume of cube?

The volume formula is given by,

\(V=l^3\)

Substitute, V=27000 in the volume formula

\(27000=l^3\)

Taking cube both side,

\(L=\sqrt[3]{27000}\)

\(l=30\)

Therefore,

The edge length of the storage cube is 30 centimetre.

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