Q:

A paperweight in the shape of a square pyramid has a side length of 2.7 inches. The slant height is 2.5 inches. What is the surface area of the paper weight

Accepted Solution

A:
1. To solve this problem you need to apply the formula for calculate the surface area of a square pyramid, which is shown belown:

 A=2bs+b^2

 A is the surface area of the square pyramid.
 b is lenght of the base of the square pyramid.
 s is the slant height of the square pyramid.
 
 2. Then, you have:

 b=2.7 inches

 s=2.5

 3. When you substitute the values above into the formula for calculate the surface area of the square pyramid, you obtain:

 A=2bs+b^2

 A=2(2.7 inches)(2.5 inches)+(2.7 inches)^2
 A=13.5 inches^2+7.29 inches^2
 A=20.79 inches^2

 The answer is: 20.79 inches^2