Question
Suppose you take a piece of cardboard measuring 7 inches by 7 inches, cut out square corners with sides x inches long, and then fold up the cardboard to make an open box. Express the volume V of the box as a function of x.
Answers
did you make a sketch?
isn't the base after the cut-out (7-2x) by (7-2x) and isn't the height of the box x inches?
volume of box = base area x height
=
isn't the base after the cut-out (7-2x) by (7-2x) and isn't the height of the box x inches?
volume of box = base area x height
=
Yes so my conclusion is that
V(x) = x (7 – 2x)^2
is this correct?
V(x) = x (7 – 2x)^2
is this correct?
correct
Thanks! I knew I would get this stuff! Thanks for your help!
Related Questions
Stacey needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high....
Stacey needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches high....
A) Stacey needs to buy some cardboard to build a box 10 inches long, 9 inches wide, and 7 inches hig...