Math, asked by prrathod79, 5 months ago

The volume of a cube is 64 cm3, then its surface area is (a) 16 cm2 (b) 64 cm2 (c) 96 cm2 Q6. (d) 128 cm​

Answers

Answered by Anonymous
2

Step-by-step explanation:

D}. 128

64 + 64

=128 cm

The answer is 128 cm

I hope it may help to you

Answered by Anonymous
19

Given

  • Volume of a cube = 64 cm³.

To find

  • Surface area of the cube.

Solution

  • Let the 'a' be the side of the cube.

\large{\boxed{\boxed{\bf{Volume_{(Cube)} = a^3}}}}

\tt\longmapsto{a^3 = 64}

\tt\longmapsto{a = \sqrt[3]{64}}

\tt\longmapsto{a = 4}

  • We have the side of cube is 4cm.

\: \: \: \: \: \: \: \: \: \underline{\sf{\red{Finding\: surface\: area}}}

\large{\boxed{\boxed{\bf{Surface\: area_{(Cube)} = 6a^2}}}}

\tt\longrightarrow{Surface\: area = 6 \times(4)^2}

\tt\longrightarrow{Surface\: area = 6 \times 16}

\tt\longrightarrow{Surface\: area = 96}

Therefore, surface area of the cube is 96 cm².

Hence,

  • Option (c) is correct.

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