Math, asked by swetakashyap197, 8 hours ago

The volume of a cube is 42.875 cu. m. Find its surface area?​

Answers

Answered by FleurxExotica
21

 \Large {\boxed{\pmb{\bf{\red{Answer :}}}}}

= 42.875³

= 78815.6386

Answered by Anonymous
14

Answer:

Given :-

  • The volume of a cube is 42.875 m³.

To Find :-

  • What is the surface area.

Formula Used :-

\clubsuit Volume Of Cube Formula :

\mapsto \sf\boxed{\bold{\pink{Volume_{(Cube)} =\: a^3}}}

where,

  • a = Side

\clubsuit Surface Area Formula :

\mapsto \sf\boxed{\bold{\pink{Surface\: Area_{(Cube)} =\: 6a^2}}}

where,

  • a = Side

Solution :-

First, we have to find the side of a cube :

Given :

  • Volume of cube = 42.875

According to the question by using the formula we get,

\implies \sf a^3 =\: 42.875

\implies \sf a =\: \sqrt[3]{42.875}

\implies \sf a =\: \sqrt[3]{\underline{3.5 \times 3.5 \times 3.5}}

\implies \sf\bold{\purple{a =\: 3.5\: m}}

Now, we have to find the surface area :

\longrightarrow \bf Surface\: Area_{(Cube)} =\: 6a^2

\longrightarrow \sf Surface\: Area_{(Cube)} =\: 6 \times (3.5)^2

\longrightarrow \sf Surface\: Area_{(Cube)} =\: 6 \times 3.5 \times 3.5

\longrightarrow \sf Surface\: Area_{(Cube)} =\: 6 \times 12.25

\longrightarrow \sf\bold{\red{Surface\: Area_{(Cube)} =\: 73.5\: m^3}}

{\small{\bold{\underline{\therefore\: The\: surface\: area\: of\: cube\: is\: 73.5\: cm^3\: .}}}}

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