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Arisa [49]
4 years ago
14

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?

Mathematics
2 answers:
Ronch [10]4 years ago
8 0

Answer:

24 in

Step-by-step explanation: v=Bh

then

kodGreya [7K]4 years ago
6 0

Answer:

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

<u>Note:</u> 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 = <u>48 sq. in.</u>

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

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