2. Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.
a. 324 cm^3
b. 108 cm^3
c. 36 cm^3
d. 152 cm^3
V = 1/2 * b^2 * h
V = 1/3 * 9^2 * 4
V = 324/3
V = ???
108 cm^3
Right.
Thanks! :D
You're welcome.
To find the volume of a square pyramid, you can use the formula:
Volume = (1/3) * base area * height.
First, find the base area of the square pyramid. Since the base is a square, the area can be found using the formula:
Base area = side length * side length.
In this case, the base length is 9 cm, so the base area is:
Base area = 9 cm * 9 cm = 81 cm^2.
Next, substitute the values into the volume formula:
Volume = (1/3) * 81 cm^2 * 4 cm.
Simplifying this equation gives us:
Volume = 27 * 4 cm^3.
Volume = 108 cm^3.
Therefore, the correct answer is b. 108 cm^3.