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3 years ago

A cube has volume 15 625 cm3. what is the surface area of the cube?

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

SA=3750cm2

The volume of a cube is determined by the formula
V=s3 where s is the measurement of each edge.

Since cube has six square faces, each of the faces will have the area of a square which we know to be A=s2. Therefore the total surface area of a cube will be the area of a square multiplied by six (faces).

SA=6s2

Solving for the length of edge (side):

V=s3

s=3√V=3√15625cm3

s=25cm

Solving for the surface area:

SA=6s2=6(25cm)2

SA=3750cm2

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