Question

A prism has total surface area of 228 m^2 and volume of 216 m^3.

If the length, width, and height of the original are increased to four times their original sizes, what will be the following?
(c) the new surface area
(d) the new volume

Please help, last question on something I've been working on for weeks.

Answer 1

Original and bigger prism are similar with scale factor k = 4, so:

new surface area = k² * original surface area = 4² * 228 = 16 * 228 = 3648 m²
and
new volume = k³ * original volume = 4³ * 216 = 64 * 216 = 13824 m³