Question

Internal length, breadth and height of a
rectangular box are 10 cm, 8 cm and 6 cm
respectively. How many boxes are needed to
pack 6240 cm cubes?
(a) 12.
(C) 15
(d) 17
(b) 13
​

Answer 1

Answer :

The required number of boxes are 13.

[ Option. b ] is the correct option.

Step-by-step explanation :-

To Find,

• How many boxes are needed to pack 6240 cm cubes?

Solution,

Given that,

• Internal dimensions of a rectangular box is 10cm, 8cm and 6cm

Therefore, Volume of the box is,

As we know that,

$\dag \: \: \boxed{\sf{\red{Volume \: of \: cuboid = l \times b \times h}}}$

Where,

• l = Length
• b = Breadth
• h = Height

$\sf{\mapsto \: 10cm \times 8cm \times 6cm} \\ \\ \\ \sf{\mapsto \: {80cm}^{2} \times 6cm} \\ \\ \\ \sf{\mapsto \: {480cm}^{3}}$

Therefore, the volume is 480cm³.

According the question,

As we know that,

$\dag \: \: \boxed{\red{\bf{Required \: boxes}= \sf{ \dfrac{Volume \: of \: cubes}{Volume \: of \: rectangular \: box}}}}$

Therefore,

$\sf{ \mapsto \: \dfrac{6240}{480}} \\ \\ \\ \sf{ \mapsto \: \cancel{ \dfrac{6240}{480}}} \\ \\ \\ \frak{ \purple{ \mapsto \: 13}} \: \: \: \: \bigstar$

Hence, number of boxes required are 13 boxes.