LillybelleZ23626 LillybelleZ23626
  • 30-10-2022
  • Mathematics
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The volume of the rectangular pyramid below is 1200 units^3. Find the value of x

The volume of the rectangular pyramid below is 1200 units3 Find the value of x class=

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JacarterO494069 JacarterO494069
  • 30-10-2022

Answer: 20 units

The volume of a rectangular pyramid is solved by:

[tex]V=\frac{lwh}{3}[/tex]

Where:

l = length

w = width

h = height

From the given, we know that:

V = 1200 units³

l = 20

w = 9

h = x

Substitute these to the formula and solve for x:

[tex]\begin{gathered} V=\frac{lwh}{3} \\ 1200=\frac{(20)(9)x}{3} \\ 1200=\frac{180x}{3} \\ 3(1200)=180x \\ 3600=180x \\ x=20 \end{gathered}[/tex]

Therefore, the value of x is 20 units

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