find the volume of a square pyramid with a base length of 9 cm and height of 4 cm.
324 cm^3
108 cm^3
36 cm^3
152 cm^3
The correct answer is 108 cm^3.
To find the volume of a pyramid, you can use the formula V = (1/3)Bh, where B is the area of the base and h is the height.
In this case, the base is a square with side length 9 cm, so the area of the base is B = 9^2 = 81 cm^2.
Plugging in the values, we get V = (1/3)(81)(4) = 108 cm^3.
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square, so the base area is calculated by squaring the length of the base.
Given:
Base length = 9 cm
Height = 4 cm
First, let's calculate the base area:
Base area = length of base * length of base
Base area = 9 cm * 9 cm
Base area = 81 cm^2
Now, plug in the values into the volume formula:
Volume = (1/3) * base area * height
Volume = (1/3) * 81 cm^2 * 4 cm
Volume = (1/3) * 324 cm^3
Volume = 108 cm^3
Therefore, the volume of the square pyramid is 108 cm^3. So, the correct answer is 108 cm^3.