SOLUTION: What is the total and lateral surface area of a material whose volume is 54 cubic in. Assume that the length and width are of the same measurement and that the height is twi

Question 852425: What is the total and lateral surface area of a material whose volume is 54 cubic in. Assume that the length and width are of the same measurement and that the height is twice the length
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
What is the total and lateral surface area of a material whose volume is 54 cubic in.
Assume that the length and width are of the same measurement and that the height is twice the length
:
Let x = the side, then the dimensions and volume are:
x * x * 2x = 2x^3
2x^3 = 54
divide by 2
x^3 = 27
find the cube root of 27
x = 3 in one side, height = 6
:
Find the find the surface area of all six sides
S.A. = 4(3*6) + 2(3^2)
S.A. = 4(18) + 2(9)
S.A. = 72 + 18
S.A. = 90 sq/in
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