Question

Kwame's team will make two triangular pyramids to decorate the entrance to the exhibit. They will be wrapped in the same metallic foil. Each base is an equilateral triangle. If the base has an area of about 3.9 square feet, how much will the team save altogether by covering only the lateral area of the two pyramids? The foil costs $0.24 per square foot. Kwame's team will save $
, altogether by covering only the lateral area of the two pyramids.

Answer 1

Answer:

Kwame's team will save = 7.8 $\times$ $0.24 = $1.87

Step-by-step explanation:

i.) Let the side of the equilateral triangle base be a

ii.) the area of the base = 3.9 square feet

iii.) the area of equilateral triangle is = $\frac{\sqrt{3} }{4} a^{2}$ = 3.9

iv.) Base area  = 3.9 square feet

v.) The area that is not covered is the base.

vi.) The total area that is not covered  = 3.9 $\times$ 2  since there are two pyramids

    therefore the total area not covered = 7.8 square feet

vii.) therefore Kwame's team will save = 7.8 $\times$ $0.24 = $1.87