Question

Q2. An iron piece 140 cm x 60 cm x 40 cm was recycled into smaller cubes of

side 5 cm each. How many cubical pieces were made?​

Answer 1

Given :

• Length of cube is 5 cm
• Dimensions of the cuboid are 140 , 60 and 40 cm respectively

To find :

The number of cubes that were made from the cuboid

Formulas used :

• Volume of cube = a³
• Volume of cuboid = length × breadth × height

Concept insight :

• In cases where we find the number of cubes of any figure that can be kept in the other figure
• Or in cases where one figure is melt and made into another
• We use volume formula

Solution :

Dimensions of the cuboid :

• Length : 140 cm
• Breadth : 60 cm
• Height : 40 cm

Volume of the cuboid :

• Length × Breadth × Height
• 140 × 60 × 40
• 336000 cm³

Dimensions of the cube :

• Length of the side : 5 cm

Volume of the cube :

• Side × Side × Side
• 5 × 5 × 5
• 125 cm³

Number of cubes that were made :

• Volume of cuboid / Volume of cube

• $\sf\implies\::\dfrac{336000}{125}$

• 2688 cubes