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mezya [45]
4 years ago
7

A square pyramid has a base side of 12 in. and a slant height of 15 in. The lateral area of the pyramid is _____ in.².

Mathematics
1 answer:
SCORPION-xisa [38]4 years ago
3 0
Solving for the lateral surface of the square pyramid, we need to use the formula shown below:
Lateral Area = a √ (a² + 4h²) where "a" for the base edge and "h" for the height

We have given values such as:
Base = 12  inches
Height  = 15 inches
Lateral area = 12 √ (12² + 4*15)
Lateral area = 171.39 inches²

The answer is 171.39 inches².

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Answer:

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Step-by-step explanation:

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From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

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m(∠CAE) = tan^{-1}(\frac{5}{8})

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From the triangle ABE,

tan58° = \frac{BE}{AE}

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Total height of the silo = BE + EC

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Therefore, total height of the silo is 18 ft.

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