Question

Find the edge length of a cube if the surface area is 565.7 m².

0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above

Answer 1

9.71 m

Explanation:

Surface area of cube is given by 6a^2 where a is the edge length.

Given

Surface area =565.7 m²

let a be the edge length of required cube

then

6a^2 = 565.7 m²

=> a^2 = 565.7 /6 m² = 94.28

=> a =
`√(94.28)` = 9.71

Thus, first option 9.71 m is correct choice.