Question

A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. The box is to hold 972 in3. How big a piece of cardboard is needed? Your answer is:__ in. by___ in.

show your work

Answer 1

24 in by 24 in

Explanation:

Height of the box is 3 in, then

area of base is 972/3 = 324 in.

The side of the box base is
`√(324)` = 18

The side of the square piece of carboard is 18 + 2 x 3 = 24 in.