Question

what is the volume? 5.8 in 7.3 in 3 in cubic inches

Explanation:

Step1: Recall volume formula for triangular - prism

The volume formula for a triangular - prism is $V=Bh$, where $B$ is the area of the base and $h$ is the height of the prism. The base is a triangle with base $b = 7.3$ in and height of the triangle $h_{1}=3$ in, and the height of the prism $h_{2}=5.8$ in. First, find the area of the triangular base.

Step2: Calculate the area of the triangular base

The area of a triangle is $B=\frac{1}{2}bh_{1}$, where $b = 7.3$ in and $h_{1}=3$ in. So, $B=\frac{1}{2}\times7.3\times3=\frac{21.9}{2}=10.95$ square inches.

Step3: Calculate the volume of the prism

Now, use the volume formula for the prism $V = Bh_{2}$. Substitute $B = 10.95$ square inches and $h_{2}=5.8$ in. Then $V=10.95\times5.8 = 63.51$ cubic inches.

Answer:

$63.51$