If the volume of a cube is (8 x \(10^3\))cm\(^3\), what is the surface area of the cube?
A
2,400 cm\(^2\)
B
1,600 cm\(^2\)
C
120 cm\(^2\)
D
24 cm\(^2\)
E
16 cm\(^2\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
VOLUME of CUBE = \(L^3\)
8000 = \(L^3\)
L = \(\sqrt[3]{8000}\) = 20
S. A. CUBE = 6\(L^2\)
S. A. CUBE = 6 x 20 x 20 = 2400\(cm^2\)
Source: Myschool Past Questions Archive (Record #41836)