Mathematics, 13.04.2020 06:47, purplepanda69

Find the volume of the figure: a prism of volume 15 with a pyramid of the same height cut out.

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answered: shartman22

The volume of the figure is 10 cubic units, if a prism of volume 15 with a pyramid of the same height cut out.

Step-by-step explanation:

The given is,

A prism of volume 15

A pyramid of the same height cut out

For the above question diagram is missing, so i attach the diagram.

Step:1

Ref the attachment,

Volume of figure = Volume of Prism - Volume of Pyramid....(1)

Step:2

From the given diagram,

Formula for volume of prism,

$V_{prism} = whl$ ......................(2)

Where, w - Width of the prism

h - Height of prism

l - Length of prism

From the given,

Volume, V = 15 cubic units

l = a

w = b

h = c

Equation (1) becomes,

15 = abc

c = $\frac{15}{ab}$

Step:3

Volume of pyramid, $V = \frac{whl}{3}$ ..........................(2)

where,

w - Width of pyramid

h - Height of pyramid

l - Length of pyramid

From the given,

l = a

w = b

h = c

From the volume of prism, h = c = $\frac{15}{ab}$

Equation (2) becomes,

$V_{pyramid} = (\frac{ab}{3} )(\frac{15}{ab } )$

= 5

$V_{pyramid} = 5$ cubic units

Step:4

Equation (1) becomes,

Volume of figure = 15 - 5

= 10 cubic units

Result:

The volume of the figure is 10 cubic units, if a prism of volume 15 with a pyramid of the same height cut out.

Find the volume of the figure: a prism of volume 15 with a pyramid of the same height cut out.

answered: Guest

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

answered: Guest

There is 240 red cars and there is 400 blue cars because 240/3=80 and 80*5=400

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