Question

the volume of this triangular prism is 480 cubic millimeters. what is the value of j? 16 mm j 6 mm j = millimeters

Explanation:

Step1: Recall volume formula

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 $j$ and height $6$ mm, so $B=\frac{1}{2}\times j\times6 = 3j$. The height of the prism $h = 16$ mm.

Step2: Substitute into volume formula

We know that $V = 480$ cubic - mm. Substituting $B = 3j$ and $h = 16$ into $V=Bh$, we get $480=(3j)\times16$.

Step3: Solve the equation

First, simplify the right - hand side of the equation: $(3j)\times16 = 48j$. So the equation becomes $48j = 480$. Then, divide both sides of the equation by 48: $j=\frac{480}{48}=10$.

Answer:

10