Question

Linda joined cardboard pieces to make a square pyramid, as shown below.



If the dimensions of the pyramid are made five times greater, which statement is true about the surface area of the new pyramid?

A) It will be ten times the original pyramid’s surface area.

B) It will be fifteen times the original pyramid’s surface area.

C) It will be five times the original pyramid’s surface area.

D) It will be twenty-five times the original pyramid’s surface area.

Answer 1

there is a general rule: if you scale all the dimensions (lengths) of a figure by X, then the figure's surface area will be scaled by X^2 and its volume by X^3

Answer 2

so is that ten times the original pyramid’s surface area?

Answer 3

i think its D

Answer 4

you are told five times greater,

what is 5^2 (5*5) ??

Answer 5

ohh

Answer 6

wait i'm confused now. is it five times or twenty five times..?

Answer 7

the lengths of the figure are 5 times longer.
that makes the surface area 5^2 bigger
(and the volume of the figure 5^3 bigger)

Answer 8

so it's D? because 5*5

Answer 9

yes.

Answer 10

thank you so much :)