The graph shows the career interests of the students at Linda's college. Suppose there are 900 students at the school. How many
of the students want to be an athlete?
1 answer:
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1. Consider the pyramid ABCDE in the figure 1 attached:
Each side of the square base equals
(units)
Area of 1 lateral side of pyramid ABCDE is
so the total lateral area is
(units squared)
and the total surface area is
(units squared)
2. Now consider the second figure KLMNP, Sydney's pyramid:
The lateral area is
so the total area of the second pyramid is
So 2 things can be said about the areas:
i) the lateral area of Sydney's pyramid is
times larger than the lateral area of the original pyramid.
ii) The total area of Sydney's pyramid is
units squared larger than the total area of the original pyramid.
Each side of the square base equals
Area of 1 lateral side of pyramid ABCDE is
so the total lateral area is
and the total surface area is
2. Now consider the second figure KLMNP, Sydney's pyramid:
The lateral area is
so the total area of the second pyramid is
So 2 things can be said about the areas:
i) the lateral area of Sydney's pyramid is
ii) The total area of Sydney's pyramid is