Volume of Triangular Prisms

The formula for the area of a triangle is $$\frac{1}{2} \times b \times h$$ , where b is the base and h is the height.

The formula for the volume of a triangular prism is $$V = A_{base} \times h_{prism}$$ , where A_{base} is the area of the triangular base and h_{prism} is the height (or length) of the prism.

To calculate the area, use the formula: $$A = \frac{1}{2} \times b \times h = \frac{1}{2} \times 10 \times 5 = 25 cm^2$$ .

The volume is calculated as $$V = A_{base} \times h_{prism} = 20 \times 10 = 200 cm^3$$ .

To find the height, use the formula: $$h_{prism} = \frac{V}{A_{base}} = \frac{150}{30} = 5 cm$$ .

Volume is typically measured in cubic units, such as cm³, m³, or liters.

The volume of a prism is directly proportional to the area of its base and its height: $$V = A_{base} \times h_{prism}$$ .

The area is $$A = \frac{1}{2} \times 8 \times 6 = 24 m^2$$ .

The volume is $$V = 12 \times 4 = 48 m^3$$ .

The height can be found using the formula: $$h = \frac{2A}{b}$$ , where A is the area and b is the base.