Question

The diemension of a cube are doubled. by how many times the surface area will increase​

Answer 1

Answer:

this is your answer

Step-by-step explanation:

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Answer 2

Answer:

The surface area will increased by 4 times

Step-by-step explanation:

Question says that, If dimensions of a cube is doubled, find how many times the surface area will increase.

Step 1 : Find the surface area of cube :

We know that,

Surface area of a cube : 6a²

• "a" is each edge of the cube.

So, the surface area of the cube will be :

→ 6a²

Step 2 : Dimension gets doubled :

The each edges now will be :

→ 2 times a

→ 2a

Step 3 : Surface area of the new cube :

Surface area of the new cube :

→ 6(2a)²

→ 6 × 4a²

→ 24a²

Step 4 : Compare both the surface area of the cubes :

Surface area increased is given by :

$\to \sf \dfrac{S_2}{S_1}$

Where,

• $\sf S_2$ is the surface area of first cube i.e., 6a²
• $\sf S_1$ is the surface area of the new cube i.e., 24a²

So,

$\to \sf \dfrac{24a^2}{6a^2}$

$\to \sf 4$

${ \therefore{ \underline{ \bf{The \: suface \: area \:will \: increase \: by \: 4 \: \: times }}}}$