# Multi step problem for algebra 1

*label*Algebra

*timer*Asked: May 29th, 2015

**Question description**

You have made clay animals to sell for charity. Each animal is about 6 inches long by 8 inches wide by 8 inches tall. You want to package each each animal in a box with the top of its head showing. You will not use a lid for the box. You have received a donation of cardboard sheets that are 24 inches by 20 inches to make the boxes. You must cut out corner regions of x^2 so that the flaps can be folded up to form each box.

a. write a polynomial expression fror the area of thebox bottom. Find the area of the box bottom in terms of x.

b. write a polynomial expression for the volume of the box. Find the volume of the box in terms of x.

c.Is it possible to use squares that are 12 inches for the corners?

d.Is it posible to use th donated cardboard sheets to make boxes that wil be large enough to hold clay animals?