a square pyramid has a height of 9 units and a volume of 147 units. if a square prism has the same base area and volume as the
square pyramid, what is its height?
1 unit
3 units
6units
9units

Option B.

Step-by-step explanation:

A square pyramid has a height = 9 units and volume = 147 unit³

Then By the formula,

Volume of pyramid =

                          147 =

                          147 = 3(Area of the base)

Area of the base = unit²

Now we have to find the height of a prism having same area of base and volume as the square pyramid.

Volume of a prism = Area of the base × height

We plug in the values of volume and area of the base

147 = 49×height

Height =

           = 3 units

Option B. is the answer.

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed