The volume of a prism with a side length of 3, height of 12, and width of 9?

1 answer

To calculate the volume of a prism, you can use the formula:

\[ \text{Volume} = \text{Base Area} \times \text{Height} \]

First, we need to determine the base area. Since you mentioned a side length of 3, a height of 12, and a width of 9, it sounds like you might be referring to a rectangular prism, where the base area is calculated as:

\[ \text{Base Area} = \text{Width} \times \text{Length} \]

In this case, let's assume the given "side length" refers to one dimension, possibly corresponding to the length of the base of the prism.

Given:

  • Width = 9
  • Length = Side Length = 3
  • Height = 12

We can calculate the base area:

\[ \text{Base Area} = 3 \times 9 = 27 \]

Next, we calculate the volume:

\[ \text{Volume} = \text{Base Area} \times \text{Height} = 27 \times 12 = 324 \]

Thus, the volume of the prism is:

\[ \boxed{324} \]

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