Question

How many cubical blocks of side 50 cm can be
cut from a cubical block of wood of side 1 m? ​

Answer 1

Given:

✰ Side of smaller cubes = 50 cm

✰ Side of bigger cube = 1 m = 100 cm

To find:

✠ How many cubes can be cut from bigger cube i.e, from a cubical block of wood.

Solution:

Let's understand the concept first! First we will find the volume of smaller cubes as we are provided with length of it's one side, thus by using formula, we will calculate it's volume. Then, we will find the volume of bigger cube by using formula. After that we will divide volume of smaller cubes by volume of bigger cube to get the number of cubes that can be cut.

Let's solve it...♪

✭ Volume = a³ ✭

Where, a is the length of one side of a cube.

➛ Volume of smaller cubes = ( 50 )³

➛ Volume of smaller cubes = 50 × 50 × 50

➛ Volume of smaller cubes = 2500 × 50

➛ Volume of smaller cubes = 125000 cm³

➛ Volume of larger cube = ( 100 )³

➛ Volume of larger cube = 100 × 100 × 100

➛ Volume of larger cube = 10000 × 100

➛ Volume of larger cube = 1000000 cm³

Now,

➤ Number of cubes that can be cut = Volume of larger cube/Volume of smaller cubes

➤ Number of cubes that can be cut = 1000000/125000

➤ Number of cubes that can be cut = 1000/125

➤ Number of cubes that can be cut = 8

∴ 8 cubes can be cut from bigger cube i.e, from a cubical block of wood.

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