SOLUTION: the question says "an open rectangular tank with a square base of side x metres and with a volume of 8m³" how do i show that the surface area of the tank is x² + 32

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the question says "an open rectangular tank with a square base of side x metres and with a volume of 8m³" how do i show that the surface area of the tank is x² + 32       Log On


   



Question 673225: the question says "an open rectangular tank with a square base of side x metres and with a volume of 8m³"
how do i show that the surface area of the tank is
x² + 32
x
(thats meant to say say 32 over x but i cant get it to go as a fraction)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,

an open rectangular tank with a square base of side x metres and with a volume of 8m³"
V = x%2Ax%2Ah+=+8m%5E3 h = 8%2Fx%5E2
This is an "Open tank" where length and width are x:
S = +x%2Ax+%2B+2x%2Ah+%2B+2%2Ax%2Ah
S =+x%5E2+%2B+2x%288%2Fx%5E2%29+%2B+2x%288%2Fx%5E2%29+=+x%5E2+%2B+16%2Fx+%2B+16%2Fx+=+32%2Fx