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.
1 answer:
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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