Question

the total area of a cube is144. what is its volume?

a.24 cu units
b. 96 Square root of 6 cu units
c.48 square root of 6 cu units
d. 144 cu units

Answer 1

alright so a cube has 6 sides, and the area of one square is x*x. (you have six of these)
So, 6x^2=144
x=4.898
x^3=volume
so (4.898)^3=48 root 6

Answer 2

6x^2 = 144
x^2 = 144/6 = 24
x = sqrt(24) = 2sqrt(6)
volume = side * side * side = 2sqrt(6) * 2sqrt(6) * 2sqrt(6)
= 8 * 6 * sqrt(6) = 48sqrt(6)