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

Answer:

$C=27inch\ by\ 27inch$

Step-by-step 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

$C=27inch\ by\ 27inch$