This problem refers to the two-person tent shown in the figure below. Assume the tent has a floor and is closed at both ends. Give your answers in exact form and also approximate to the nearest tenth of a unit.

If the height h at the center of the tent is to be 4 feet and the length l of the tent is to be 6 feet, how many square feet of material will be needed to make the tent?

exact form                      __________  

approximate form            __________  

 

Comparing Areas A wire 360 in. long is cut into two pieces. One piece is formed into a square, and the other is formed into a circle. If the two figures have the same area, what are the lengths of the two pieces of wire (to the nearest tenth of an inch)?

Volume A small shelter for delicate plants is to be constructed of thin plastic material. It will have square ends and a rectangular top and back, with an open bottom and front, as shown in the figure. The total area of the four plastic sides is to be .

Draw a graph of V.

Volume A small shelter for delicate plants is to be constructed of thin plastic material. It will have square ends and a rectangular top and back, with an open bottom and front, as shown in the figure. The total area of the four plastic sides is to be .

Express the volume V of the shelter as a function of the depth .