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What is the volume of a rectangular based cone?

Answer 1

Sophia Alfred

See the explanation

Volume = base area #xx 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=1/3ah#

But #a=LW# giving:

#v=1/3LWh#

#LW=(3v)/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#

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Answer 2

Violet Aldrich

The volume ( V ) of a rectangular-based cone can be calculated using the formula:

[ V = \frac{1}{3} \times \text{base area} \times \text{height} ]

Where the base area is the area of the rectangle at the base of the cone, and the height is the perpendicular distance from the base to the apex (or tip) of the cone.

If the dimensions of the rectangle are ( l ) (length) and ( w ) (width), and the height of the cone is ( h ), then the base area is ( A = l \times w ).

Substituting the base area and height into the formula for volume:

[ V = \frac{1}{3} \times l \times w \times h ]

So, the volume of the rectangular-based cone is ( \frac{1}{3} \times \text{base area} \times \text{height} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.