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The surface area of a square pyramid is 84 square inches. The side length of the base is 6 inches. What is the value of x?

The surface area of a square pyramid is 84 square inches. The side length of the base-example-1
User Joe Frank
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2 Answers

2 votes

I am 99% sure it's either 7 or 14

User Kanine
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6 votes
The surface area is the area of the base plus the areas of the four sides.

The area of the base is
6*6=36.
The area of each one of the four sides is
(1/2)*x*6 = 3x
The area of the four sides combined is 3x * 4 = 12x.
The total surface area is 12x + 36.
The question says that it is 84.
So, 84 = 12x + 36
Solve: 84-36 = 12x
48 = 12x
48/12 = x
x = 4
User Abhishek Ekaanth
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6.0k points