Question

What is the surface area of the rectangular prism below?

Answer 1

To Find Surface Area:

So Surface area is found according to this equation SA=2lw+2lh+2hw

6and 1/2 times 2 is 13 that would be the 2 sides

then you do 3 times 6 1/2 which is 19 1/2, which is the top and bottom

finally you do 3 times 9 1/5 which is 27 3/5.

Now since 1/2 and 1/5 are not the same, we find the LCM or Least Common Multiple, which is 10 so 1/2 is multiplied by 5 which is 5/10 and 3/5 is multiplied by 2 which makes 6/10.

Adding 5/10 and 6/10 is 11/10 or 1 1/10

13+6+9=28

28+1 1/10 = 29 1/10

and finally because we did surface area it is 29 1/10 CM^2

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To Find Volume:

The Equation used to find volume is l*w*h

The Length is 6 1/2

Height is 9 1/5

width is 3

First, lets again convert the fractions

5/10 and 6/10

6 5/10 times 9 6/10 is 62.4

62.4 times 3 is 187.2

The .2 and be put into 2/10 or 1/5  so the FINAL answer is 187 1/5

Another way to check this is

6*9*3=162

1/5*1/2

Hope this helped :)

~Ukiahsmith1