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

Answer:

The bottle of perfume A contains more glass

Step-by-step 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

$SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}$

step 2

Find the surface area of Perfume B

$SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}$

step 3

Compare the surface areas

$24\ in^{2}>21.25\ in^{2}$

therefore

The bottle of perfume A contains more glass