The surface area of the cube of side 6 cm is equal toA- 216 cm 2B- 226 cm 2C- 316 cm 2D- 326 cm 2

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Total Surface Area of a Cube

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Question

The surface area of the cube of side 6 cm is equal to

216 c m^{2}

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226 c m^{2}

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316 c m^{2}

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326 c m^{2}

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Solution

The correct option is A $216 c m^{2}$
The surface area of a cube is equal to $6 a^{2}$ .
Given a = 6 cm
Hence: $6 a^{2}$ = $6 \times 6^{2}$ = $6 \times 36$
= $216 c m^{2}$

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A solid cube of side 12 cm is cut into eight cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

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Solution:

Side(a) of the cube = 12 cm

Volume of the cube =(a)3=(12 cm)3=1728 cm3

Let the side of the smaller cube be a1.

Volume of 1 smaller cube =(17288)cm3=216 cm3(a1)3=216 cm3⇒a1=6 cm

Therefore, the side of the smaller cubes will be 6 cm.

Ratio between surface areas of cubes =Surface area of bigger cubeSurface area of Smaller cube=6×1226×62=(12)2(6)2=41

Therefore, the ratio between the surface areas of these cubes is 4:1.

my doubt is how this a1 got 6cm

Q. Three cubes of sides 8 cm, 6 cm and 1 cm are melted to form a new cube. The surface area of the cube so formed is __________.

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The surface area of the cube of side 6 cm is equal to

The correct option is A 216 cm2The surface area of a cube is equal to 6a2. Given a = 6 cm Hence: 6a2 = 6×62 =6×36 = 216cm2

The correct option is A $216 c m^{2}$
The surface area of a cube is equal to $6 a^{2}$ .
Given a = 6 cm
Hence: $6 a^{2}$ = $6 \times 6^{2}$ = $6 \times 36$
= $216 c m^{2}$