Please help!!!!

Question

A rectangular box has a square base the height of the box is twice the length of the base. If the surface area of the box the sum of the areas of all six sides is 250 sq feet. Find the volume of the box

Answer 1

Base measure x

Height is 2x

base area is x^2, is also the area of the top

side area is x(2x) = 2x^2

Total area is 4*side area + 2 * base area =

4(2x^2) + 2(x^2) =

8x^2 + 2x^2 =

10x^2

250 = 10x^2

25 = x^2

x = 5

Base is 5x5, sides are 5x10

volume is 5*5*10 = 250