krishelematthews krishelematthews
  • 29-06-2020
  • Mathematics
contestada

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

Find the volume of this square based pyramid 5ft 6 ft ft class=

Respuesta :

Wishing Wishing
  • 29-06-2020

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 [tex]\frac{1}{3} *b*h[/tex]

Inserting our measurements:

[tex]\frac{1}{3} *6*6*4=\\2*6*4=\\12*4=\\48[/tex]

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