Question

rishab
gutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
tygggutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
gutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
tygggutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
gutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
tygggutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
gutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf
tygggutccfikfvy 7vc86tgv7 f865crvfb c487lt i75tbt vtoctv8bve6xc38 r6ufyudtf

Answer 1

Answer:

Given:-

Edges of three cubes = 18cm, 24cm and 30cm.

All three cubes are melted to made a new cube.

To Find:-

The edge of new cube formed.

Formula Used:-

↦ Volume of cube = \tt edge^3edge

3

Solution:-

Let the edge of bigger cube be x.

Since Three cubes are melted to make a bigger cube and therefore,

↦ Total Volume of 3 cubes = Volume of bigger cube.

\tt \mapsto {18}^{3} + {24}^{3} + 30 {}^{3} = {x}^{3} .↦18

3

+24

3

+30

3

=x

3

.

\begin{gathered} \\ \tt \mapsto 5832 + 13824 + 27000 = {x}^{3} .\end{gathered}

↦5832+13824+27000=x

3

.

\begin{gathered} \\ \tt \mapsto {x}^{3} = 46656.\end{gathered}

↦x

3

=46656.

\begin{gathered} \\ \tt \mapsto x = \sqrt[3]{46656} .\end{gathered}

↦x=

3

46656

.

\begin{gathered} \\ \large \red{\bf \mapsto { \underline{ \boxed{ \blue{ \underline{ \bf x = 36}}}}}}\end{gathered}

↦

x=36

$\begin{gathered} \\ \large \red{\bf \mapsto { \underline{ \boxed{ \blue{ \underline{ \bf x = 36}}}}}}\end{gathered}$

Therefore The Edge Of the Cube Is 36 cm.