Volume of Rectangular Pyramids

The volume of a rectangular pyramid is given by the formula: $$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$ .

The base area of a rectangular pyramid is calculated as: $$\text{Base Area} = \text{Length} \times \text{Width}$$ .

The height of a rectangular pyramid is the perpendicular distance from the base to the apex (top point) of the pyramid.

Using the formula: $$V = \frac{1}{3} \times (4 \times 3) \times 6 = 24 \text{ in}^3$$ .

Common units for measuring volume include cubic inches (in³), cubic centimeters (cm³), and cubic feet (ft³).

The volume of a rectangular pyramid is one-third the volume of a rectangular prism with the same base area and height.

Increasing the height of a rectangular pyramid increases its volume, while decreasing the height reduces the volume.

Using the formula: $$V = \frac{1}{3} \times 20 \times 9 = 60 \text{ cm}^3$$ .

Using the formula: $$V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$$ , we find height: $$\text{Height} = \frac{3 \times 112}{28} = 12 \text{ in}$$ .

Using the formula: $$V = \frac{1}{3} \times (5 \times 4) \times 3 = 20 \text{ ft}^3$$ .