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Licemer1 [7]
3 years ago
8

What is the volume of the square pyramid with base edges 18 m and slant height 15 m?

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer: First option

Step-by-step explanation:

1. You must apply the following formula for calculate the volume of a square pyramid:

V=\frac{b^{2}*h}{3}

Where h is the height and b is a side of the base.

2. Calculate the height by applying the Pythagorean Theorem:

h=\sqrt{(15m)^{2}-(\frac{18m}{2} )^{2}}=12m

3. Therefore, the volume is:

V=\frac{(18m)^{2}*12m}{3}=1296m^{3}

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