Question

the volume of a cube of side 2 cm is equal to dash m^3​

Answer 1

GIVEN :-

• Side of the cube = 2cm

TO FIND :-

• Volume of the cube in m³

SOLUTION :-

$\large {\underline {\bold {\boxed{ \bigstar{ \red {\sf{ \: volume \: of \: cube = {s}^{3} }}}}}}}$

Where ,

• S is side of the cube

$\implies \sf \: volume \: of \: cube = (2) {}^{3} \\ \\ \implies \sf \: volume \: of \: cube = 2 \times 2 \times 2 \\ \\ \implies \sf \: volume \: of \: cube = 8 \: {cm}^{3}$

Relation between cm³ and m³ is given by ,

$\large {\underline {\bold {\boxed {\bigstar {\red {\sf{ \: 1cm {}^{3} = {10}^{ - 6} \times m {}^{3} }}}}}}}$

$\implies {\underline {\bold {\boxed {\blue {\sf{volume \: of \: cube = 8 \times {10}^{ - 6} \: {m}^{3} }}}}}}$

∴ The volume of the cube in m³ is 8 × 10⁻⁶ m³ (or) 0.000008 m³

ADDITIONAL INFO :-

$\sf(1) \: Total \: surface \: area \: of \: cube \: = 6( {side}^{2} ) \\ \\ \sf(2) \: Lateral \: surface \: area \: of \: cube = 4( {side}^{2}) \\ \\ \sf (3) \: Volume \: of \: cuboid = length \times breadth \times height \\ \\ \sf (4) \: Lateral\: surface\: area \: of \: cuboid = 2 \: height(length + breadth)$

Answer 2

Answer:

GIVEN :-

Side of the cube = 2cm

TO FIND :-

Volume of the cube in m³

SOLUTION :-

\large {\underline {\bold {\boxed{ \bigstar{ \red {\sf{ \: volume \: of \: cube = {s}^{3} }}}}}}}

★volumeofcube=s

3

Where ,

S is side of the cube

\begin{gathered} \implies \sf \: volume \: of \: cube = (2) {}^{3} \\ \\ \implies \sf \: volume \: of \: cube = 2 \times 2 \times 2 \\ \\ \implies \sf \: volume \: of \: cube = 8 \: {cm}^{3} \end{gathered}

⟹volumeofcube=(2)

3

⟹volumeofcube=2×2×2

⟹volumeofcube=8cm

3

Relation between cm³ and m³ is given by ,

\large {\underline {\bold {\boxed {\bigstar {\red {\sf{ \: 1cm {}^{3} = {10}^{ - 6} \times m {}^{3} }}}}}}}

★1cm

3

=10

−6

×m

3

\implies {\underline {\bold {\boxed {\blue {\sf{volume \: of \: cube = 8 \times {10}^{ - 6} \: {m}^{3} }}}}}}⟹

volumeofcube=8×10

−6

m

3

∴ The volume of the cube in m³ is 8 × 10⁻⁶ m³ (or) 0.000008 m³

ADDITIONAL INFO :-

\begin{gathered} \sf(1) \: Total \: surface \: area \: of \: cube \: = 6( {side}^{2} ) \\ \\ \sf(2) \: Lateral \: surface \: area \: of \: cube = 4( {side}^{2}) \\ \\ \sf (3) \: Volume \: of \: cuboid = length \times breadth \times height \\ \\ \sf (4) \: Lateral\: surface\: area \: of \: cuboid = 2 \: height(length + breadth)\end{gathered}

(1)Totalsurfaceareaofcube=6(side

2

)

(2)Lateralsurfaceareaofcube=4(side

2

)

(3)Volumeofcuboid=length×breadth×height

(4)Lateralsurfaceareaofcuboid=2height(length+breadth)