Math Problem Solver

The volume of a triangular prism is $600\, \text{units}^3$.

Note: Approximate solutions are rounded to the nearest hundredths place.

Given: $$\begin{aligned}A_{B}&=30\\h&=20\end{aligned}$$

Volume

The volume of a triangular prism is given by the equation: $$\begin{aligned}V&=A_{B} h\end{aligned}$$ where $V$ is volume, $A_{B}$ is base area, and $h$ is height.

Solution:$$\begin{aligned}V&=A_{B} h\\V&=\left(30\right) \left(20\right)\\V&=600\end{aligned}$$

A triangular prism is a three dimensional solid with six vertices, nine edges, and five faces: two parallel, congrugent triangular faces and three rectangular faces. The triangular faces are the base and top of a prism. The sides connecting the base to the top are the length l if the dimensions of the triangular base is given and height h if the area of the base is given.

The base perimeter P_B of a triangular prism is the distance around the base.

The base area A_B of a triangular prism is the region enclosed inside the base. $$A_{B} = \frac{1}{2} b h$$

The lateral surface area A_L of a triangular prism is the sum of the areas of its rectangular faces.

The perimeter P of a triangular prism is the sum of all the sides.

The surface area S of a triangular prism is the region occupied by all its faces. $$S = 2 A_{B} + A_{L}$$

The volume V of a triangular prism is the amount of space it occupies. $$\begin{aligned} V &= A_{B} h \\ &= \frac{1}{2} b h l \end{aligned}$$

Classification: Polyhedron, Prism