Respuesta :

absor201

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: [tex]Volume=\frac{1}{3}a^2h[/tex]

Where a is base edge and h is height of pyramid

Putting values in formula to find the volume

[tex]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[/tex]

So, Volume of square pyramid is 3466.6 cm³

taextra

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 = ( [tex]\frac{1}{3}[/tex] ) · b · h

( [tex]\frac{1}{3}[/tex] ) ( 20 · 20 ) ( 24 )

( [tex]\frac{1}{3}[/tex] ) ( 400 ) · ( 24 ) = 3200cm³

use symbolab.com for these sort of problems :)

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