What is the length of a right triangular prism with a volume of 90, width of 3, and a height of 5.
To find the length of the right triangular prism, we can use the formula for the volume of a prism, which is given by:
Volume = Base Area × Height
In this case, the base of the prism is a right triangle. The formula for the area of a right triangle is:
Area = (1/2) × Base × Height
Given that the width (base) of the triangular prism is 3 and the height of the prism is 5, we can substitute these values into the formula for the base area:
Base Area = (1/2) × 3 × 5 = 7.5
Now, we can rearrange the formula for the volume of the prism to solve for the length:
Volume = Base Area × Height
90 = 7.5 × Length
Length = 90 / 7.5
Length = 12
Therefore, the length of the right triangular prism is 12.