#1 Volume and Surface Area of Prisms

The volume of a cylinder is given by the formula: $$V = \text{Base Area} \times \text{Height} = \text{Area of Circle} \times \text{Height} = \frac{1}{3} \times \text{pi} \times r^2 \times h$$ .

The surface area of a cylinder is given by the formula: $$SA = 2\text{pi}rh + 2\text{pi}r^2$$ , where r is the radius and h is the height.

The volume of a rectangular prism is given by the formula: $$V = \text{Length} \times \text{Width} \times \text{Height}$$ .

The surface area of a rectangular prism is given by the formula: $$SA = 2lw + 2lh + 2wh$$ , where l is length, w is width, and h is height.

The volume of a triangular prism is given by the formula: $$V = \text{Base Area} \times \text{Height} = \frac{1}{2} \times \text{Base} \times \text{Height of Triangle} \times \text{Height of Prism}$$ .

Surface area is the total area of the surface of a three-dimensional object.

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

The base area of a cylinder is found using the formula: $$\text{Base Area} = \text{Area of Circle} = \text{pi} \times r^2$$ .

Volume measures the space inside the prism, while surface area measures the total area of its outer surfaces.

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic inches (in³), or liters.