Question

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

Answer 1

Answer:

The height of the pyramid is 11.81.

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:

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

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

$1552.4=\frac{394.4h}{3}$

Multiplying both sides by 3 we get:

$4657.2=394.4h$

Dividing both sides by 394.4 we get:

$11.81=h$

$h=11.81$.

Therefore, the height of the pyramid is 11.81.