Math, asked by yusufrr55, 3 months ago

Find the edge of the cube if the total surface area of a cube is 96 cm​2​​.

Answers

Answered by faehatali1997
0

Answer:

4

Step-by-step explanation:

6a³ is the total surface area of the cube

so,

6a²= 96

a²= 16

a = 4

Answered by Mysterioushine
12

Given :

  • Total surface area of a cube = 96 cm²

To Find :

  • The Edge of the cube

Solution :

Total surface area (TSA) of a cube is given by ,

 \\  \star \: {\boxed{\purple{\sf{TSA_{(cube)} = 6 {a}^{2} }}}} \\  \\

Here ,

  • a is the edge of the cube

Substituting the values we have in the formula ,

 \\ :   \implies \sf \: 96 \:  = 6 {a}^{2}  \\  \\

 \\   : \implies \sf \:  {a}^{2}  =  \frac{96}{6}  \\  \\

 \\   : \implies \sf \:  {a}^{2}  = 16 \\  \\

 \\   : \implies \sf \: a =  \sqrt{16}  \\  \\

 \\   : \implies{\underline{\boxed{\pink{\mathfrak{a = 4 \: cm}}}}}  \: \bigstar \\  \\

 \\  \therefore{\underline{\sf{Hence \:  ,  \: The \:  edge  \: of  \: the  \: given \:  cube \:  is  \:  \bold{4 cm}}}} \\

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