You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a 14-inch square as the bottom and you want the slant height to be 16 inches, how much poster board do you need?

Question

You are making poster board boundary markers in the shape of square pyramids for a relay race. If you are including a  14-inch square as the bottom and you want the slant height to be  16 inches, how much poster board do you need?

shane_b · Answer

The area of the base will be$$A=(14in)^2=196in^2$$The perimeter will be$$P=(4)(14in)=64in$$
The surface area of a square pyramid is:$$Surface \space Area=A_{base}+\frac{1}{2}Perimeter*Slant Length$$Now just plug the values and solve for SA.