Question

A cuboid of length 10 cm, breadth 8 cm, and
height 4 cm was melted to make cube of
side 2 cm. How many cubes can be made?​

Answer 1

Answer:

80 cubes can be made.

Step-by-step explanation:

Cube made = volume of cuboid/ volume of cube

= l×b×h / a×a

= 10 ×8 ×4 / 2×2

= 320 /4

= 80

Answer 2

Answer:

40 cubes can be made.

Step-by-step explanation:

Given:

• A cuboid was melted to make cube.
• Length of a cuboid = 10 cm
• Breadth of a cuboid = 8 cm
• Height of a cuboid = 4 cm
• Side of a cube = 2 cm

To find:

• How many cubes can be made?

Solution:

♦ Volume of a cuboid = l × b × h

Where,

l is the length of a cuboid.

b is the breadth of a cuboid.

h is the height of a cuboid.

Putting the values in the formula, we have:

• Volume of a cuboid = 10 × 8 × 4
• Volume of a cuboid = 10 × 32
• Volume of a cuboid = 320 cm³

♦ Volume of a cube = a³

Where,

a is the length of each side of a cube.

Putting the values in the formula, we have:

• Volume of a cube = 2³
• Volume of a cube = 2 × 2 × 2
• Volume of a cube = 2 × 4
• Volume of a cube = 8 cm³

Finally,

• Number of cubes required = Volume of a cuboid/Volume of a cube
• Number of cubes required = 320/8
• Number of cubes required = 40

━━━━━━━━━━━━━━━━━━━━━