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Tanzania [10]
3 years ago
11

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
<span>SA=3750c<span>m<span>2
</span></span></span>

The volume of a cube is determined by the formula
<span>V=<span>s3</span></span> 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 <span>A=<span>s2</span></span>. Therefore the total surface area of a cube will be the area of a square multiplied by six (faces).

<span>SA=6<span>s2</span></span>

Solving for the length of edge (side):

<span>V=<span>s3</span></span>

<span>s=<span>3<span>√V</span></span>=<span>3<span>√<span>15625c<span>m3</span></span></span></span></span>

<span>s=25cm</span>

Solving for the surface area:

<span>SA=6<span>s2</span>=6<span><span>(25cm)</span>2</span></span>

<span>SA=3750c<span>m<span>2</span></span></span>
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