Question

Dimensions of a cuboid are 4cm , 6cm, 3cm: (a) Find its volume. (b) If each of these dimensoins be doubled, then what will be the volume of the new cuboid? (c) What is the ratio of the second volume to the first volume?​

Answer 1

Answer ::

• The volume of the actual cuboid is 72cm³
• The volume of new cuboid is 864cm³.
• The ratio between the second cuboid to the first cuboid is 12 : 1

Step-by-step explanation ::

To Find :-

• Find its volume.
• If each of these dimensoins be doubled, then what will be the volume of the new cuboid
• What is the ratio of the second volume to the first volume

Solution :-

Given that,

• Length of cuboid = 4cm
• Breadth of cuboid = 6cm
• Height of cuboid = 3cm

ACCORDING THE QUESTION,

• The volume of cuboid is,

As we know that,

Volume of cuboid = ( l × b × h )

Where,

• l = Length
• b = Breadth
• h = Height

➞ Volume = 4cm × 6cm × 3cm

➞ 4cm × 18cm²

➞ 72cm³

• If each of these dimensoins be doubled, then what will be the volume of the new cuboid

Doubled length = ( 4 × 2 )cm

➞ 8cm

Doubled breadth = ( 6 × 2 )cm

➞ 12cm

Doubled height = ( 3 × 2 )cm

➞ 6cm

Now, the volume of new cuboid is,

➞ 8cm × 12cm × 9cm

➞ 8cm × 108cm²

➞ 864cm³

The volume of new cuboid is 864cm³.

Now, the ratio between the second cuboid to the first cuboid is,

➞ 864 : 72

➞ 12 : 1

The ratio between the second cuboid to the first cuboid is 12 : 1.

Answer 2

Answer:

1. volume
2. double volume
3. ratio