## What is the volume of a rectangular based cone?

Answer:

See the explanation

Explanation:

Volume = base area \(\times \frac{1}{3}\) height

Let width of the base be \(W\)

let the length of the base be \(L\)

Let volume be \(v\)

Let area of base be \(a\)

Let height of pyramid be \(h\)

So \(v=\frac{1}{3} a h\)

But \(a=L W\) giving:

\(v=\frac{1}{3} L W h\)

\(L W=\frac{3 v}{h}\)

To solve this you must have only 1 unknown so you would need to So the only unknown has to be one if \(W\) or \(L\) or \(h\)