Math, asked by jagpreetparmar, 2 months ago

The total surface area of a cube is 96 cm. Find the length of the edge

Answers

Answered by SciFi273
4

Answer:

Given : T.S.A = 96 sqr cm.

We know, T.S.A of cube = 6a²

           

On substituting values, we get

6a²  = 96

 a² = 96 ÷ 6

 a = √16

 a = 4 cm

So length of edge of cube = 6 cm.

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Answered by ItzWhiteStorm
8

\bigstar Question :

→ The total surface area of a cube is 96 cm. Find the length of the edge.

\bigstar To Find :

→ Length of the edge = ?

\bigstar Given :

→ Area of cube = 96 cm

\bigstar Required Formula :

→ Total surface area of cube = 6a²

\bigstar Solution :

Let,

  The length of the edge = a

→ Total surface area of cube = 96 cm

→ 96 = 6a²

→ a² = \frac{96}{6}

→ a² = 16

→ a = √16

a = 4 cm

∴ The length of the edge = a = 4 cm

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