The base of a pyramid is a right triangle. The legs of the triangle measure 6 in and the altitude of the pyramid is 5 in. Find the volume.
To find the volume of a pyramid, you can use the formula:
Volume = (1/3) * Base Area * Height
In this case, since the base of the pyramid is a right triangle with legs measuring 6 inches, we can use the formula for the area of a right triangle:
Base Area = (1/2) * Leg1 * Leg2
Given that the legs of the triangle measure 6 inches, we have:
Base Area = (1/2) * 6 * 6 = 18 square inches
The height of the pyramid is given as 5 inches.
Now, substituting the values into the volume formula:
Volume = (1/3) * 18 * 5 = 30 cubic inches
Thus, the volume of the pyramid is 30 cubic inches.