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?
Accepted Solution
A:
Answer:The bottle of perfume A contains more glass Step-by-step explanation:we know thatThe surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular facesstep 1Find the surface area of Perfume A[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]step 2Find the surface area of Perfume B[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]step 3Compare the surface areas[tex]24\ in^{2}>21.25\ in^{2}[/tex]thereforeThe bottle of perfume A contains more glass