If the pencil you are holding were 10 times as long and 10 times as wide, its surface area would be multiplied by
A)10
B)100
C)1000
D)10,000
E)none of these
And its volume would be multiplied by
F)10.
G)100.
H)1000.
I)10,000.
10)none of these.

Question

Quizplus · Accepted Answer

The surface area of a rectangular prism is given by 2(wl + hl + hw), where w is the width, l is the length, and h is the height. If the pencil is 10 times as long and 10 times as wide, then the new surface area would be 2(10w * 10l + 10h * 10l + 10w * 10h) = 200(wl + hl + hw) = 200 * the original surface area.The volume of a rectangular prism is given by lwh. If the pencil is 10 times as long and 10 times as wide, then the new volume would be 10w * 10l * 10h = 1000 * the original volume.

If the Pencil You Are Holding Were 10 Times as Long