Question

Find the number of cubes of 3 cm side which
can be made from cuboid of dimensions I=
18cm, b = 15cm and h = 2 cm​

Answer 1

$\large\underline{\blue{\sf \green{\bigstar}Correct\:\: Question:-}}$

• Find the number of cubes of 3 cm side which can be made from cuboid of dimensions I= 18cm, b = 15cm and h = 2 cm

$\large\underline{\red{\sf \blue{\bigstar} Given:-}}$

• A cubes of 3 cm side which can be made from cuboid of dimensions l = 18cm, b = 15cm and h = 2 cm.

$\large\underline{\pink{\sf \red{\bigstar} To Find:-}}$

• Number of cubes ?

$\large\underline{\purple{\sf \orange{\bigstar} Solution:-}}$

Edge of cube = 3cm

→ Volume of a cube

→ a³

→ (3)³

→ 27 cm³

Hence,

• Volume of a cube = 27 cm³

Now,

Length of cuboid = 18 cm

Breadth of cuboid = 15 cm

Height of cuboid = 2 cm

Volume of cuboid

→ l × b × h

→ 18 × 15 × 2

→ 18 × 30

→ 540 cm³

Therefore

Volume of cuboid is 540 cm³

Number of cubes

→ Volume of cuboid/volume of a cube

→ 540/27

→ 20

So,

• Number of cubes is 20

Answer 2

Question given :

• Find the number of cubes of 3 cm side which can be made from cuboid of dimensions I= 18cm, b = 15cm and h = 2 cm

Given :

• Length of cube is 3 cm
• Dimensions of the cuboid are 18 , 15 and 2 cm respectively

To find :

• The number of cubes that can be kept in 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 used volume formula

Required soultion :

Volume of cube

• a³
• 3³
• 27 cm³

Volume of cuboid

• length × breadth × height
• 18 × 15 × 2
• 540 cm³

Number of cubes that can be kept :

• $\sf\implies\::\dfrac{Volume\:of\:cuboid}{Volume\:of\:cube}$

• $\sf\implies\::\dfrac{540}{27}$

• 20 cubes