The surface area of a cube is 100 square centimeters. Estimate to the nearest tenth of a centimeter the side length of the cube using the formula S = 6s2, where S represents surface area and s represents side length. Make sure to show all work and label your answer.

Question

The surface area of a cube is 100 square centimeters.  Estimate to the nearest tenth of a centimeter the side length of the cube using the formula S = 6s2, where S represents surface area and s represents side length.  Make sure to show all work and label your answer.

cwrw238 · Answer

100 = 6s^2
solve for s

anonymous · Answer

6s^2=100
log6s^2=log10^2
log6+logs^2=2log10
2log s=2-log 6
log s=(2-log6)/2
s=4.08

cwrw238 · Answer

no need to use logs
s^2 = 100/6 = 16.666
s = sqrt 16.666 = 4.08

anonymous · Answer

oh true
i was doing lots of log and cannot turn it back
btw congrad for getting the answer