The volume of a right prism with a length of 8 m, a width of 3 m and a height of 2 m is

1. ### Break Down the Problem

To find the volume of a right prism, we need to use the formula for the volume of a rectangular prism, which is given by:

$\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$

2. ### Relevant Concepts

The dimensions of the prism are provided:

• Length, $L = 8 \, \text{m}$
• Width, $W = 3 \, \text{m}$
• Height, $H = 2 \, \text{m}$

3. ### Analysis and Detail

Using the formula for the volume: $\text{Volume} = L \times W \times H$ Substituting the values: $\text{Volume} = 8 \, \text{m} \times 3 \, \text{m} \times 2 \, \text{m}$

Now, we will perform the calculations step by step:

• First, calculate $8 \times 3$: $8 \times 3 = 24 \, \text{m}^2$
• Then, multiply by the height $2 \, \text{m}$: $24 \, \text{m}^2 \times 2 \, \text{m} = 48 \, \text{m}^3$

4. ### Verify and Summarize

The calculations have been verified through stepwise multiplication, confirming that the final volume calculation is correct.

Final Answer

The volume of the right prism is $48 \, \text{m}^3$.