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in Mathematics by (74.8k points)
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If the edge of a cube is doubled then the total surface area will become how many times of the previous total surface area? 

(A) Two times 

(B) Four times 

(C) Six times 

(D) Twelve times

2 Answers

+1 vote
by (43.9k points)
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Best answer

Correct option is : (B) Four times  

Let

Original Edge of Cube = a 

Given that edge is doubled.

\(\therefore\) New edge = 2a

Surface area of original Cube = \(6 \times(\text {Edge})^2\)

Surface area of new cube \(=6 \times (\text {Edge})^2\)

\(=6 \times(2 a)^2 \)

\(=6 \times 4 a^2 \)

\(=4 \times 6 a^2\)

\(=4 \times\) original surface Area

\(\therefore\) New Surface area will be 4 times original surface Area.

+1 vote
by (73.2k points)

Correct option is : (B) Four times

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