Ram wants to build up a solid cube of
side 15 cm. How many cubical blocks of
side 5cm will be required for it?
Q.​

Given:

• Ram wants to build up a solid cube of side 15 cm.

To find:

• How many cubical blocks of side 5cm will be required for it?

Solution:

• Let’s consider ABCD is a cuboid.

Where,

• Side = Cuboid = 5cm
• Side = Cube = 15cm

• Let’s consider cubical blocks required be x.

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« Now, By using volume formula(Cube & cuboid),

As we know that,

• Volume of cuboid = H × B × L

• Volume of cube = Side³

• volume of cubical blocks (x) = Volume of side of the cube (15cm)

→ x × 5³ = 15³

→ 125x = 3375

→ x = 3375/125

→ x = 27

∴ Hence, 27 cubical blocks are required of side 5cm.