SOLUTION: A cuboid has a pair of square faces,with edge lengths p cm. The total volume of the cuboid is 375cm3. Calculate the value of p a and the surface area of the cuboid.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A cuboid has a pair of square faces,with edge lengths p cm. The total volume of the cuboid is 375cm3. Calculate the value of p a and the surface area of the cuboid.      Log On

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Question 1109915: A cuboid has a pair of square faces,with edge lengths p cm. The total volume of the cuboid is 375cm3. Calculate the value of p a and the surface area of the cuboid.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The volume would be L%2Ap%2Ap=L%2Ap%5E2 with L being the other edge length.
If p is supposed to be an integer number of cm, and p%3C%3E1 ,
then 375=L%2Ap%5E2 <--> 15%2A25=L%2Ap%5E2
suggests that p=5 and L=15 .
Then, the cuboid has 2 square faces measuring 5 cm by 5 cm,
with perimeter=4%2A%285cm%29=20cm and area=%285cm%29%5E2=25cm%5E2 .
The other faces are rectangular faces with length L=15cm ,
attached to the 20cm perimeter of the suqare faces,
for a lateral area of %2815cm%29%2820cm%29=300cm%5E2 .
Then, the total surface area of the cuboid is
2%2825cm%5E2%29%2B300cm%5E2=50cm%5E2%2B300cm%5E2=350cm%5E2 .

NOTE:
If p does not need to be integer different from 1,
then, p could have any value,
and there is no way to solve the problem.