Question

How many cuboids of sides 6cm,3cm,6cm willbe neededto form a cube of side 6 cm

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

AnswEr:

• The number of cuboids needed to form a cube = 2.

Given Information:

Dimensions of cuboid,

• Length = 6
• Breadth = 3
• Height = 6
• Side of cube = 6

Need To Find:

• The number of cuboids needed to form a cube = ?

ExPlanation:

In Case 1:

Given That:

• The dimensions of cuboid = 6 × 3 × 6.

Need To Find:

• The area of cuboid = ?

Formula used here:

• Area of cuboid = Length × Breadth × Height

Putting the values according to the given formula:

➠ Area of cuboid = 6 × 3 × 6

➠ Area of cuboid = 108

Hence:

• The area of cuboid is 108 cm³.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

In Case 2:

Need To Find:

• The area of cube = ?

Formula used here:

• Area of cube = Side × Side × Side

Putting the values according to the given formula:

➠ Area of cube = 6 × 6 × 6

➠ Area of cube = 216

Hence:

• The area of cube is 216 cm³.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$

In Case 3:

• The number of cuboid needed to form a cube = Area of cube/Area of cuboid

Now, putting the values:

Cuboid needed to form a cube = $\mathsf {\dfrac{\cancel{216}}{\cancel{108}}}$

Cuboid needed to form a cube = 2

Hence:

• The number of cuboid needed to form a cube is 2.

$\setlength{\unitlength}{1.0 cm}}\begin{picture}(12,4)\thicklines\put(1,1){\line(1,0){6.5}}\put(1,1.1){\line(1,0){6.5}}\end{picture}$