# Using Area and Volume Formulas

by Gloria
(Puerto Rico)

A pizza box measures l7 inches long, l6 l/2 inches wide, and 2 inches high. what is the total area of the box and what is the volume?

### Comments for Using Area and Volume Formulas

Average Rating     May 16, 2010 Rating     Using Area and Volume Formulas by: Karin Hi Gloria, You need to find the surface area, which means finding the area of all surfaces on the pizza box. The pizza box has a top and bottom, which will have the same area. It also has a front and back and then 2 sides. We have to find the area of each of those sides.The area formula for a rectangle is: A = l x w.Area = length times width.So, for your cereal box:We'll first find the area of the top and bottom. The top and bottom is the length and width of the pizza box.A = l x wA = 17 x 16.5A = 280.5 in^2Now we'll find the area of the front of the box. This is the length and the height is actually the width if it's laid flat.A = l x wA = 17 x 2A = 34 in^2Now we'll find the area of the sides which is the width and the height. A = lxwA = 16.5 x 2A = 33 in^2Now we know that we have 2 of each side, so we have to multiply and add them all together2(top) + 2(front) + 2(sides) = total surface area2(280.5) + 2(34) + 2(33) = 695 in^2.The total surface area is 695 in^2.Now for the volume. The volume formula is:V = l x w x h (Volume = length times width times height.)V = l x w x hV = 17 x 16.5 x 2V = 561 in^3Hope this helps!Karin Need More Help With Your Algebra Studies?