Determine the volume of a triangular prism with a height of 5 m a width of 3 m and depth of 8 m
To calculate the volume of a triangular prism, we need to use the formula:
Volume = (1/2) * base * height * depth
In this case, the base of the prism is the width of 3 meters and the height of the prism is 5 meters while the depth is 8 meters.
Plugging in these values into the formula, we get:
Volume = (1/2) * 3 * 5 * 8
Volume = (1/2) * 15 * 8
Volume = 7.5 * 8
Volume = 60 cubic meters
Therefore, the volume of the triangular prism is 60 cubic meters.
Sorry the width is 8.5 m not 8 m
No problem! Let's recalculate the volume using the correct width of 8.5 meters:
Volume = (1/2) * base * height * depth
Volume = (1/2) * 8.5 * 5 * 3
Volume = (1/2) * 42.5
Volume = 21.25 * 3
Volume = 63.75 cubic meters
Therefore, the volume of the triangular prism with a height of 5 m, a width of 8.5 m, and a depth of 3 m is 63.75 cubic meters.