Question

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

Answer 1

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:

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