Question

Side of a cube is 2 cm. Find the surface area of all vertical faces and total surface area of the cube.

Answer 1

$\bf \bold{ \underline{given}}$

• Side of cube,a=2cm

$\bf \bold{ \underline{to \: find}}$

the surface area of all vertical faces and total surface area of the cube.

$\bf \bold { \underline{formula \: used}}$

$\red{ \star \: lateral \: surface \: area \: of \: cube= 4a {}^{2}}$

$\red{ \star \: total \: surface \: are \: of \: cube = 6a {}^{2} }$

$\bf \bold { \underline{solution}}$

$l.s.a = 4(2) {}^{2} = > 4 \times 4 = > 16$

$t.s.a = > 6(2) {}^{2} = > 6 \times 4 = > </strong><strong>2</strong><strong>4$

knowledge enhancer

• perimeter of the cube=12(edge)
• volume of the cube=(Edge)³

Answer 2

Given :

Side of cube = 2cm

To find :

1) Surface area of all vertical faces of cube

2) Total surface area of the cube

Solution :

1) Surface area of all vertical faces = Lateral surface area

=> 4(side)²

=> 4(2)²

=> 4(4)

=> 16 cm²

2) Total surface area of cube

=> 6(side)²

=> 6(2)²

=> 6(4)

=> 24 cm²

Some formulas :

T. S. A of cube = 6 (side)²

L. S. A of cube = 4 (side)²

Volume of cube = (side)³

T. S. A of cuboid = 2 (lb + bh + lh)

L. S. A of cuboid = 2( l + b) h

Volume of cuboid = (l x b x h)

T. S. A of cylinder =2πr(h + r)

L. S. A of cylinder =2πrh

Volume of cylinder = πr²h