Find the Volume of this triangular prism.

(4 points)
height of the triangular Base =
inches

area of the triangular Base =
square inches

height of the triangular prism =
inches

Volume of the triangular prism =
cubic inches

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1 answer

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

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

From your inputs, it seems that you have provided the parameters needed:

  1. Height of the triangular base (this would typically be needed to calculate the area if we didn't have it).
  2. Area of the triangular base (which you provided).
  3. Height of the triangular prism.

Here’s how to calculate the volume assuming you have these values:

  1. Area of the triangular base = (given value) square inches
  2. Height of the triangular prism = (given value) inches

Now plug in the values into the formula:

\[ \text{Volume} = \text{Area of the triangular base} \times \text{Height of the triangular prism} \]

Just multiply the area of the base by the height of the prism to get the volume.

Example

Let's say:

  • Area of the triangular base = 10 square inches
  • Height of the triangular prism = 5 inches

Then, the volume would be: \[ \text{Volume} = 10 , \text{in}^2 \times 5 , \text{in} = 50 , \text{in}^3 \]

Please provide the specific values for the height of the triangular base, area of the triangular base, and height of the prism, so I can perform the calculation for you.