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MrMuchimi
3 years ago
8

Consider the rectangular prism with length 3 cm, width 4 cm, and height of 6 cm. Will doubling one of the dimensions of the rect

angular prism double the surface area of the prism? Justify your answer.
Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Answer:

NO

Step-by-step explanation:

Surface area = 2lw+ 2 lh + 2 hw  Where h = height, w= width and l = length

We will double w

SA becomes 2l(2w) + 2lh + 2h(2w)

 SA = 4lw + 2lh + 4lw

Doubling the SA

2SA = 2(2lw+ 2 lh + 2 hw)

        = 4lw + 4lh +4 hw

2SA =? SA for 2w

4lw + 4lh +4 hw =   4lw + 2lh + 4lw

This is not the same

Doubling one dimension does not double the surface area

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Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

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x    0           0.025              0.015                       0.010            0.05

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2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

       = ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

        = 0 + 0.1+ 0.48 + 0.9+0.8

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E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

        = 0.63

E (x+Y) = E(X) +E(Y)

             = 2.28 + 0.63

                = 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

                   = 3(2.28) + 10 (0.63)

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