Question

Which expression represents the total surface area, in square centimeters, of the square pyramid? A square pyramid. The square base has side lengths of 8.2 centimeters. The triangular sides have a height of 10.3 centimeters.

Answer 1

Total surface area of the pyramid is 236.16cm² and the expression is

2bs + s²

Explanation:

Total surface area of a square pyramid is expressed as;

TSA = 2bs + Base Area

b is the side length of the base = 8.2cm

s is the slant height of the triangular side = 10.3cm

Base area = s²

Base area = 8.2²

Base area = 67.24cm²

TSA = 2(8.2)(10.3)+67.24

TSA = 168.92+67.24

TSA = 236.16cm²

Hence the total surface area of the pyramid is 236.16cm² and the expression is 2bs + s²