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3 years ago

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

Solution:

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

Therefore, total surface area of square pyramid is given as,

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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Answer:

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Step-by-step explanation:

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So we can setup variable equations for this:
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