Question

If the edge of a cube is 1 cm then which of the following is its total surface area? a) 1 cm d) 4vm^ c) 6 cm^ d) none

Answer 1

Answer: Option - c

The volume of cube is 6cm²

Step - by - step explaination:

Given,

Edge of the cube = 1cm

We know that,

Total surface area of cube = 6a²

= 6(1)²

= 6cm²

Therefore, the TSA of cube is 6cm².

More Formulas:

Lateral surface area of cube = 4a²

Volume of cube = a³

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(6,6){\line(1,0){3.3}}\put(6,9){\line(1,0){3.3}}\put(9.3,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){3.3}}\put(4,10.3){\line(1,0){3.3}}\put(7.3,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(9.3,9){\line(-3,2){2}}\put(9.3,6){\line(-3,2){2}}\put(7.5,5.5){1 cm}\put(4,6.3){1 cm}\put(9.5,7.5){1 cm}\end{picture}$

$\rule{140}{1}$

$\underline{\bigstar\:\:\textsf{According to the Question :}}$

$:\implies\sf TSA = 6 \times (Edge)^2\\\\\\:\implies\sf TSA=6 \times (1\:cm)^2\\\\\\:\implies\sf TSA=6 \times 1\:cm^2\\\\\\:\implies\underline{\boxed{\sf TSA=6\:cm^2}}$

⠀

$\therefore\:\underline{\textsf{Total Surface Area of Cube is c) \textbf{6 cm ^\text2 }}}.$

$\rule{200}{2}$

$\boxed{\begin{minipage}{6 cm}\underline{\text{Formulae Related to Cube :}}\\ \\\sf CSA = 4\times\:\sf(Edge)^2\\\\\sf TSA=6\times(Edge)^2\\ \\Volume=(Edge)^3\\ \\Diagonal=\sqrt{3}\times Edge\end{minipage}}$