Question

Anet for a cube has a total surface area of 150 in? What is the length of one side of a square face?

4 in
5 in
16 in
25 in
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Mark hisseurs

Answer 1

a=5 in

Explanation:

surface area A=6a^2 ( it is a cube all edges are equal)

a=√A/6=√150/6=√25=5

Answer 2

The length of the side of one side of a square face is 5 in, which agrees with the second answer in the list of options.

Explanation:

Recall that a cube has 6 equal faces, therefore, the area of each face must be :

`(150)/(6) in^2=25\,\,in^2`

Then, if the area of each square face is 25
`in^2`, then, recalling that the area of a square of side "b" is:

`Area_(square)=b^2`

then:

`b^2=25\,\,in^2\\b=5\,in`