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ella [17]
3 years ago
11

A right rectangular pyramid has base dimensions of 23.2 by 17.0 and a volume of 1552.4. What is the pyramids height

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

Answer:

The height of the pyramid is <u>11.81</u>.

Step-by-step explanation:

Given:

A right rectangular pyramid has base dimensions of 23.2 by 17.0 and a volume of 1552.4.

Now, to find the pyramids height.

Let the height be h.

Volume = 1552.4.

And the dimensions are:

Length (l) = 23.2.

Width (w) = 17.0.

Now, to get the height we put formula:

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

1552.4=\frac{23.2\times 17.0\times h}{3}

1552.4=\frac{394.4h}{3}

<em>Multiplying both sides by 3 we get:</em>

4657.2=394.4h

<em>Dividing both sides by 394.4 we get:</em>

11.81=h

h=11.81.

Therefore, the height of the pyramid is 11.81.

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