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The diagram shows a right rectangular pyramid. If the volume of the pyramid is ${80 cm}^{3}$ calculate its height, in cm.

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5 cm

6 cm

7 cm

2 cm

answer is A.

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Detailed Solution

Given,
Length of pyramid

l = 8 cm

Width of pyramid,

w = 6 cm

The volume of the pyramid

V = {80 cm}^{3}

Height of pyramid, h =?
We know that the formula of Volume of right rectangular pyramid,

V = \frac{l \times w \times h}{3}

Now, we have put the value in the formula we obtain,

\Rightarrow 80 = \frac{8 \times 6 \times h}{3}

\Rightarrow h = 5

cm
Hence, height of pyramid

h = 5

cm
Correct option is 1.

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