Question

A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 1444 in3. How big a piece of cardboard is needed

Answer 1

`C=27inch\ by\ 27inch`

Explanation:

Squares
`h=4inch`

Volume
`v=1444in^3`

Generally the equation for Volume of box is mathematically given by

`V=l^2h`

`1444=l^2*4`

`l^2=361`

`l=19in`

Since

Length of cardboard is

`l_c=19+4+4`

`l_c=27in`

Therefore

Dimensions of the piece of cardboard is

`C=27inch\ by\ 27inch`