Question

15. The volume of a rectangular pyramid

Answer 1

Answer:

Its height is 24.71 centimeters.

Step-by-step explanation:

Given:

The volume of a rectangular pyramid  is 10,500 cubic centimeters.

It has a  length of 15 centimeters and a width of  85 centimeters.

Now, to find the height.

Let the height be $h.$

Volume of rectangular pyramid  = 10,500 cubic centimeters.

Length (l) = 15 centimeters.

Width (w) = 85 centimeters.

Now, to get the height by putting formula:

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

$10500=\frac{15\times 85\times h}{3}$

$10500=\frac{1275h}{3}$

Multiplying both sides by 3 we get:

$31500=1275h$

Dividing both sides by 1275 we get:

$24.71 =h\\\\h=24.71\ centimeters.$

Therefore, its height is 24.71 centimeters.