Question

Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass?

Answer 1

The bottle of perfume A contains more glass

Explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

`SA=3^(2) +4[(1)/(2)(3)(2.5)]=24\ in^(2)`

step 2

Find the surface area of Perfume B

`SA=2.5^(2) +4[(1)/(2)(2.5)(3)]=21.25\ in^(2)`

step 3

Compare the surface areas

`24\ in^(2)>21.25\ in^(2)`

therefore

The bottle of perfume A contains more glass