Ashley3279
Ashley3279 Ashley3279
  • 06-09-2018
  • Mathematics
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What is the height of the given pyramid if the volume is 48 cubic units?

What is the height of the given pyramid if the volume is 48 cubic units class=

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gmany
gmany gmany
  • 07-09-2018

The formula of a volume of a pyramid:

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

B-area of a base

h-height

[tex]B=6^2=36\ u^2\\\\V=48\ u^3[/tex]

Substitute:

[tex]\dfrac{1}{3}\cdot36\cdot h=48\\\\12h=48\ \ \ \ |:12\\\\\boxed{h=4\ u}[/tex]

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