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Alekssandra [29.7K]
3 years ago
9

Find the volume of this square based pyramid. 5ft 6 ft [? ]ft

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

48 ft³

Step-by-step explanation:

To find the height, you can use the slant height and the base.

Using the Pythagorean Theorem and 3 as the triangle's base,

a²+b²=c²

3²+b²=5²

9+b²=25

b²=16

b=4

The height of the pyramid is 4.

Volume formula for the pyramid is \frac{1}{3} *b*h

Inserting our measurements:

\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48

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