Question

the edge of a cube is increased by 100%. The surface area of the cube is increased by

Answer 1

since area=6×edge^2
let area be x
therefore (6×edge^2)=x

if edge is increased by 100% therefore
new edge=2× old edge

by formula,
area=6×(edge)^2=6× (2×old edge)^2
=6×(4×edge^2)=4×(6×edge^2)=4x

therefore surface area is increased to 4 times

Answer 2

let the edge be x
then surface area of cube =6× x^2= 6x^2

new edge 2x
then surface area of cube = 6× (2x)^2= 6×4x^2=24x^2

% increased in area = (24x^2-6x^2)×100/6x^2
=18x^2×100/6x^2
=3×100
=300
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.
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so answer is 300%



the edge of a cube is increased by 100% then surface area of the cube is increased by 300%




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