Question

Each side of a small cubical box is 4cm.A bigger cubical box is 3 times in size of the small box. how many small boxes will fit in the bigger box?​

Answer 1

Answer:

no. of boxes to fit in bigger box=

vol. of big box ÷ volume of small box

6a^3÷6A^3

6(12)^3÷6(4)^3

10368÷384

=27boxes

Answer 2

27 small boxes will fit in bigger box

Solution:

The volume of cube is given as:

$v = a^3$

Where, "a" is the length of side of cube

Given that,

Each side of a small cubical box is 4cm

Find the volume of small cubical box

$v = 4^3\\\\v = 4 \times 4 \times 4\\\\v = 64\ cm^3$

A bigger cubical box is 3 times in size of the small box

a = 4 x 3 = 12

$v = 12^3 \\\\v = 1728\ cm^3$

How many small boxes will fit in the bigger box?​

$\text{Number of small boxes fit } = \frac{\text{volume of big box}}{\text{volume of small box}}\\\\\text{Number of small boxes fit } = \frac{1728}{64}\\\\\text{Number of small boxes fit } = 27$

Thus 27 small boxes will fit in bigger box

Learn more about this topic

A cutaider box has dimensions 5mx1.5m  how many smaller boxes each of

dimensions 20cmx 5m x 10cm can fit in the bigger box

https://brainly.in/question/15077464

How many cubical boxes of edges 7 cm can bre placed in a big box of dimenstions 63 cm × 56 cm × 14cm ?

https://brainly.in/question/2837693