find the volume of the right prism whose base is a right triangle with legs 3 ft and 4 ft and with a height (altitude) of theprism being 8 ft
To find the volume of a right prism, you need to multiply the area of the base by the height (altitude).
First, let's find the area of the right triangle base. The formula for the area of a triangle is (1/2) * base * height. In this case, the base is the 3 ft leg and the height is the 4 ft leg.
Area of the base = (1/2) * 3 ft * 4 ft
Area of the base = 6 square feet
Now, we can calculate the volume of the prism by multiplying the area of the base by the height. In this case, the height is 8 ft.
Volume of the prism = Area of the base * height
Volume of the prism = 6 square feet * 8 ft
Volume of the prism = 48 cubic feet
Therefore, the volume of the right prism is 48 cubic feet.
To find the volume of a right prism, you need to multiply the area of the base by the height.
In this case, the base is a right triangle with legs measuring 3 ft and 4 ft. The formula for the area of a right triangle is (1/2) * base * height.
So, the area of the base is (1/2) * 3 ft * 4 ft = 6 ft^2.
The height of the prism is given as 8 ft.
Now, you can multiply the area of the base by the height to find the volume:
Volume = Area of Base * Height
Volume = 6 ft^2 * 8 ft
Volume = 48 ft^3.
Therefore, the volume of the right prism is 48 cubic feet.
volume = base area * length
= 3*4/2 * 8 = 48