Consider the rectangular prism with length 3 cm, width 4 cm, and height of 6 cm. will doubling one of the dimensions of the rectangular prism double the surface area of the prism? justify your 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

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half