Respuesta :

Answer:  Choice D.   36 & 1/9 cubic yards

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Explanation:

First convert each mixed number to an improper fraction.

Use the formula

a & b /c = (a*c + b)/c

So,

3 & 1/3 = (3*3+1)/3 = 10/3

2 & 1/2 = (2*2+1)/2 = 5/2

4 & 1/3 = (4*3+1)/3 = 13/3

The prism has

  • length = 10/3
  • width = 5/2
  • height = 13/3

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Volume = Length*Width*Height

Volume = (10/3)*(5/2)*(13/3)

Volume = (10*5*13)/(3*2*3)

Volume = (2*5*5*13)/(3*2*3)

Volume = (5*5*13)/(3*3) .... a pair of '2's cancel

Volume = 325/9

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Now let's convert this to a mixed number

Use a calculator to get 325/9 = 36.1111... where the '1's go on forever

Ignore the decimal portion and we see that the quotient is 36 and the remainder is 325-9*36 = 1

In short, 325/9 = 36 remainder 1

This is the same as saying 325/9 = 36 & 1/9

LotteAngel

Answer:

To find volume you do the width times the height times the length. The width is how wide the shape is horizontally (on a person this might be the length of the waist line), the height is how long it is vertically (how tall the person is), and the length is how far back the shape goes. Imagine a square. It is 3cm tall- so it is 3cm tall. It has a width of 4cm- so it is 4cm wide. In a cube there are six of these faces. The ones that go behind the shapw at the front decide the length.

So. Width(w) x length(l) x height(h).

3 1/3 =3.33

2 1/2 = 2.5

4 1/3= 4.33

Now we multiply these. This gets 36 1/9 cubic yards, D.