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Marina86 [1]
3 years ago
12

A square pyramid has a base area of 64 ft2. The pyramid’s total surface area is 224 ft2.

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0

The area of each triangular face is 40 square feet

<em><u>Solution:</u></em>

Given that,

Square pyramid has a base area of 64 square feet

The pyramid’s total surface area is 224 square feet

The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base

<em><u>Therefore, total surface area of square pyramid is given as,</u></em>

Total surface area = base area + 4(Area of traingular face)

Let "x" be the area of each traingular face

224 = 64 + 4(x)\\\\224 - 64 = 4x\\\\4x = 160\\\\x = 40

Thus area of each triangular face is 40 square feet

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