# What is the volume of a rectangular based cone?

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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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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.

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.

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.

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