Question

A solid cuboid measuring 48 cm x 24 cm x 15 cm is melted and recast into small cubes with an edge equal to 4 cm in length. how many cubes are made assuming that there is no wastage in the process

Answer 1

Given:

✰ A solid cuboid has dimensions 48 cm x 24 cm x 15 cm

✰ It is melted and recast into small cubes with an edge equal to 4 cm in length.

To find:

✠ How many cubes are made? (Assuming that there is no wastage in the process).

Solution:

Let's understand the concept first! First we will find the volume of cuboid by using formula as we are already provided with it's dimensions ( length, breadth, height), then we will find the volume of small cubes which are recasted from a solid cuboid. After that, we will divide the volume of cuboid by the volume of small cubes to get the number of cubes to be made.

Let's find out...♪

✭ Volume of cuboid = l × b × h ✭

Where,

• l is the length of cuboid.
• b is the breadth of cuboid.
• h is the height of cuboid.

➛ Volume of cuboid = 48 × 24 × 15

➛ Volume of cuboid = 1152 × 15

➛ Volume of cuboid = 17280 cm³

✭ Volume of cube = a³ ✭

Where,

• a is the length of it's each side or edge.

➛ Volume of cube = 4³

➛ Volume of cube = 4 × 4 × 4

➛ Volume of cube = 64 cm³

Now,

➤ The number of cubes to be made = Volume of cuboid/Volume of cube

➤ The number of cubes to be made = 17280/64

➤ The number of cubes to be made = 270

∴ The number of cubes to be made from a solid cuboid = 270 cubes

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Answer 2

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