HW 4.2 Volume of Prisms and Pyramids

The volume of a pyramid is given by the formula: $$V = \frac{length \times width \times height}{3}$$ .

Volume is measured in cubic units, such as cubic centimeters (cm³).

The volume is calculated as: $$V = length \times width \times height = 13 \times 8 \times 7 = 728 \text{ in}^3$$ .

The volume of a rectangular prism is given by the formula: $$V = length \times width \times height$$ .

The volume is calculated as: $$V = length \times width \times height = 10 \times 4 \times 3 = 120 \text{ cm}^3$$ .

The volume of a prism is calculated as $$V = base \times height$$ , while the volume of a pyramid is $$V = \frac{1}{3} \times base \times height$$ .

The area of a rectangle is given by the formula: $$A = length \times width$$ .

1 liter is equal to 1000 cubic centimeters (cm³). Therefore, to convert cm³ to liters, divide by 1000.

The volume of a cube is calculated as: $$V = side^3 = 5^3 = 125 \text{ cm}^3$$ .

Volume refers to the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) a container can hold.