Question

Find the volume of the following
square pyramid. Please help

Answer 1

3200

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the answer is 3200 NOT 3466.6

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THE HEIGHT OF THE PYRAMID: 24

The Explanation for height :

the height, half of one side of the square base, and the slant height form a right triangle

using the Pythagorean Theorem...

262=102+h2 (the slant height is the hypotenuse)

676=100+h2

676-100=h2

576=h2

√576=h

h=24 feet is the height of the pyramid

Explanation:

v = (
`(1)/(3)` ) · b · h

(
`(1)/(3)` ) ( 20 · 20 ) ( 24 )

(
`(1)/(3)` ) ( 400 ) · ( 24 ) = 3200cm³

use symbolab.com for these sort of problems :)

Answer 2

Volume of square pyramid is 3466.6 cm³

Explanation:

We are given:

Base edge of square pyramid = 20 cm

Height of square pyramid = 26 cm

We need to find Volume of square pyramid

The formula used is:
`Volume=(1)/(3)a^2h`

Where a is base edge and h is height of pyramid

Putting values in formula to find the volume

`Volume=(1)/(3)a^2h\\Volume=(1)/(3)(20)^2(26)\\Volume=(1)/(3)(400)(26)\\Volume=(1)/(3)(10400)\\Volume=3466.6 \ cm^3`

So, Volume of square pyramid is 3466.6 cm³