Question

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.

Answer 1

NO

Explanation:

Answer 2

NO

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