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What is the volume of a square pyramid with a base length of 6 cm and a height of 9 cm?

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__ cm³

Respuesta :

carlosego
By definition, the volume of a square-based pyramid is given by:
 V = ((Ab) * (h)) / (3)
 Where,
 Ab: base area
 h: height
 Substituting the values we have:
 V = ((6 * 6) * (9)) / (3) = 108 cm ^ 3
 answer
 the volume of a square pyramid is 108 cm ^ 3
calculista

Answer:

[tex]V=108\ cm^{3}[/tex]

Step-by-step explanation:

we know that

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where B is the area of the base of the pyramid

h is the height of the pyramid

Step 1

Find the area of the base B

The area of a square is equal to

[tex]B=b^{2}[/tex]

where

b is the length side of the square

we have

[tex]b=6\ cm[/tex]

substitute

[tex]B=6^{2}=36\ cm^{2}[/tex]

Step 2

Find the volume of the pyramid

[tex]V=\frac{1}{3}Bh[/tex]

we have

[tex]B=36\ cm^{2}[/tex]

[tex]h=9\ cm[/tex]

substitute

[tex]V=\frac{1}{3}(36)(9)=108\ cm^{3}[/tex]




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