The figure below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of the figure?

24 in

Step-by-step explanation: v=Bh

then

48 sq. in.

Step-by-step explanation:

Different figures (rectangular prisms, cylinders, triangular prisms etc.) have different volume formula. But what formula of "volume" do they come from?

It is:

Volume = Area of Base * Height

Note: we didn't specify any Area of Base formula because it depends. If base is circle, the area is different than if base was suppose a square. But this is the general formula of volume.

Now,

Given

Height = 18 inch

Volume = 864 cubic inch

We can write:

Volume = Area of Base * Height

864 = Area of Base * 18

Thus,

Area of Base = 864/18 = 48 sq. in.

This is what we are wanting, "area of base" (irrespective of the shape).