A cardboard box is open at one end and is shaped like a square prism missing one of its square bases. the volume of the prism is 810 cubic inches and its height is 10 inches. what is the length of each side of the base? how much cardboard is used for the box?

The correct answer for the question that is being presented above is this one: "9 inches; 441 in^2"

The volume of a square prism is

Volume = s^3 = lwh

Given that the volume is 810 in^3 and the height is 10 inches

810 = 10 * s^2

81 = s^2

s = 9 inches

So, the length of each side of the base is 9 inches

Then, the total area used in order to make a cardboard is that,

= 9^2 + 4 (10*9)

= 81 + 4 (90)

= 81 + 360

= 441 square inches.