Question

a cuboid is of dimensions 56cm × 49cm × 28cm. How many small cubes with sides 7cm can be placed in the given cuboid.

Please answer Fast Guys ... It's Very Important Yaar xD..!!!​

Answer 1

Hello !

Given:-

• Dimensions of the cubiod = 56cm×48cm×28cm
• side of the cube = 7cm.

To find:-

• No. of cubical boxes that can be fitted inside the mentioned cuboid.

Formula to be used up:-

• $\huge \fbox \blue{Volume of cubiod = l×b×h}$

• $\huge \fbox \blue{Volume of cube = a³}$

Solution:-

No. of cubical box that can be filled inside the cuboid = $\dfrac{Volume\:of\:cuboid}{volume\:of\:cube}$

$\implies$ $\dfrac{56×49×28}{7×7×7}$

$\implies$ $\cancel\dfrac{56×49×28}{7×7×7}$ = 8×7×4 = 224.

hence, 224 boxes can be fitted.