If the volume of the pyramid shown is 12 centimeters cubed, what is its height?
A rectangular pyramid with a base of 3 centimeters by 2 centimeters and a height of h.
1 cm
2 cm
6 cm
7 cm
To find the height of the pyramid, we can use the formula for the volume of a pyramid:
Volume = (1/3) * Base Area * Height
Given that the volume of the pyramid is 12 cm^3 and the base dimensions are 3 cm by 2 cm, we can calculate the base area:
Base Area = Length * Width = 3 cm * 2 cm = 6 cm^2
Now, let's substitute the known values into the volume formula and solve for height:
12 cm^3 = (1/3) * 6 cm^2 * Height
To isolate the height, we can multiply both sides of the equation by 3 and divide by 6:
12 cm^3 * 3 = 6 cm^2 * Height
36 cm^3 = 6 cm^2 * Height
Now, divide both sides of the equation by 6 cm^2 to solve for height:
36 cm^3 / 6 cm^2 = Height
6 cm = Height
Therefore, the height of the pyramid is 6 centimeters.
V = 1/3 Bh
so plug in your numbers and solve for h
1/3 * 3 * 2 * h = 12
solve for h