SOLUTION: the percentage change in the surface area of a cube when each side is tripled is
Algebra.Com
Question 747143: the percentage change in the surface area of a cube when each side is tripled is
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
%
If the length of an edge of the cube is ,
the surface area of each of the 6 faces of the cube is ,
and the total surface area of the cube is .
If the length of the edge is tripled to ,
the surface area of each of the 6 faces of the cube is ,
and the total surface area of the cube is .
The absolute change is .
As a percentage of , that is %
A factor of change to a length, translates into a factor of change to surface area, and it would translate into a factor of change to the volume.
The generalization is true for any scale-up (or scale down) of any solid, by any factor.
If you reproduce the shape changing every length by a factor , the surface area changes by a factor and the volume changes by a factor .
RELATED QUESTIONS
The percentage change in the surface area of a cube when each side is tripled... (answered by Alan3354)
If the edge of a cube is tripled,what change takes place in the volume and in the surface (answered by rfer,solver91311,stanbon)
what is the total surface area of a cube when it's edge is doubled,tripled &... (answered by psbhowmick)
The surface area of a cube is 24 cm2. Find the new surface area of the cube if the length (answered by Greenfinch)
The surface area in feet of a cylinder with a radius of 1 foot can be found by adding the (answered by Boreal)
The surface area of a cube is 24 cm2. what is the new surface area of the cube if the... (answered by colliefan)
if the length of each edge of a cube is increased by 70%, then the percentage increase in (answered by ikleyn)
Suppose the height of a right cylinder is tripled. Is the surface area tripled?... (answered by richard1234)
The surface area of a cube is 2,143.26 square meters. What is the length of each side of... (answered by Alan3354)