Question

Parikshit makes a cuboid of plasticine of sides 6 cm, 3 cm, 6 cm. How many such cuboids will he need to form a cube.plz ... ​

Answer 1

SOLUTION:-

Given:

Parikshit makes a cuboid of plasticine of sides 6cm,3cm,6cm.

To find:

The cuboid will he need to form a cube.

Explanation:

Formula of the volume of the cuboid;

V= Length × Breadth × Height

•Length=6cm

•Breadth=3cm

•Height=6cm

Therefore,

=) 6cm ×3cm×6cm

&

We know that, volume of the cube= a³

Volume of cube:

=) Number of cuboids ×Volume of cuboid

=) a³ = No. of cuboid×6 ×3 ×6

Since,on the left we have cube.

To form cube of the right, we multiply by 6×3×3

&

a³ = 6×3 ×6 × number of cuboids.

Putting the number of cuboids

=) 6 ×3 ×3

Now,

a³ =6×3×6 ×6 ×3 ×3

a³ = 6×6 ×6 × 3 ×3 ×3

Therefore,

Number of cuboids= 6×3 ×3 = 54.

Hope it helps ☺️

Answer 2

Answer:

Given:

Parikshit makes a cuboid of plasticine of sides 6cm,3cm,6cm.

To find:

The cuboid will he need to form a cube.

Explanation:

Formula of the volume of the cuboid;

V= Length × Breadth × Height

•Length=6cm

•Breadth=3cm

•Height=6cm

Therefore,

=) 6cm ×3cm×6cm

&

We know that, volume of the cube= a³

Volume of cube:

=) Number of cuboids ×Volume of cuboid

=) a³ = No. of cuboid×6 ×3 ×6

Since,on the left we have cube.

To form cube of the right, we multiply by 6×3×3

&

a³ = 6×3 ×6 × number of cuboids.

Putting the number of cuboids

=) 6 ×3 ×3

Now,

a³ =6×3×6 ×6 ×3 ×3

a³ = 6×6 ×6 × 3 ×3 ×3

Therefore,

Number of cuboids= 6×3 ×3 = 54

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