Question

Find the volume of the following square pyramid. Please help

Answer 1

Answer:

3200

__________________________

the answer is 3200 NOT 3466.6

__________________________

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

Step-by-step explanation:

v = ( $\frac{1}{3}$ ) · b · h

( $\frac{1}{3}$ ) ( 20 · 20 ) ( 24 )

( $\frac{1}{3}$ ) ( 400 ) · ( 24 ) = 3200cm³

use symbolab.com for these sort of problems :)

Answer 2

Answer:

Volume of square pyramid is 3466.6 cm³

Step-by-step 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: $Volume=\frac{1}{3}a^2h$

Where a is base edge and h is height of pyramid

Putting values in formula to find the volume

$Volume=\frac{1}{3}a^2h\\Volume=\frac{1}{3}(20)^2(26)\\Volume=\frac{1}{3}(400)(26)\\Volume=\frac{1}{3}(10400)\\Volume=3466.6 \ cm^3$

So, Volume of square pyramid is 3466.6 cm³