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

Respuesta :

Answer:

a=5 in

Step-by-step explanation:

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

a=√A/6=√150/6=√25=5

Answer:

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.

Step-by-step explanation:

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

[tex]\frac{150}{6} in^2=25\,\,in^2[/tex]

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

[tex]Area_{square}=b^2[/tex]

then:

[tex]b^2=25\,\,in^2\\b=5\,in[/tex]