Question

what is the total surface area of a cube whose volume is 1 cm³.
Class 8 cbse chapter 11 maths​

Answer 1

Answer:

$total \: surface \: area \: = {6cm}^{2}$

Step-by-step explanation:

Given volume is

$= 1 {cm}^{3}$

$we \: know \: that$

$volume \: of \: cube \: = \: {side}^{3}$

$therefore$

${side}^{3} = \: {1}^{3}$

$side \: = \: 1cm$

$now \: we \: also \: know \: that$

$total \: surface \: area \: of \: cube$

$= {6side}^{2}$

$= 6 \times {side}^{2}$

$= {6cm}^{2}$

Answer 2

Given:

• Volume of Cube = 1cm^3

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To Find:

• Total Surface Area..

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Solution→

$\red \bigstar\blue {volume \: of \: cube= {a}^{3}}$

$\implies \: {1cm}^{3} = {a}^{3}$

$\implies \: a = 1cm$

$\red \bigstar\green{total \: surface \: area \: of \: cube = 6 {a}^{2} }$

$t.s.area \implies \: 6 \times {(1)}^{2}$

$6 {cm}^{2} \: \: \: \: \red \bigstar \: answer$

$\boxed{\large\mathcal \red \bigstar{\underline{\purple {Total \: Surface \: Area➠}}}}$➽

• The Total surface area of a cube is the area of the six squares that cover it.
• The area of one of them is a*a, or a^2 . Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared.
• Hence,

Total Surface area of Qube => 6a^2