Question

The internal length, breadth and height of a
box are 30 cm, 24 cm and 15 cm. Find the
largest number of cubes which can be placed
inside this box if the edge of each cube is
(i) 3 cm (ii) 4 cm (iii) 5 cm​

Answer 1

Answer:

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Answer 2

(i) 400 cubes

(ii) 168 cubes

(iii) 86 cubes

Step-by-step explanation:

Given,

In a box,

Length = 30 cm,

Breadth = 24 cm,

Height = 15 cm,

Thus, volume of the box = length × breadth × height

= 30 × 24 × 15

= 10800 cm³,

(i) Side of the cube = 3 cm,

Volume of the cube = side³

= 3³

= 27 cm³

Hence, number of cubes inside the box

$=\frac{\text{Volume of the box}}{\text{Volume of the cube}}$

$=\frac{10800}{27}$

= 400.

(ii) Similarly if side of cube = 4 cm,

Number of cubes inside the box

$=\frac{10800}{4^3}$

$=\frac{10800}{64}$

= 168.75

≈ 168 ( rounded down )

(iii) If side of cube = 5 cm,

Number of cubes inside the box

$=\frac{10800}{5^3}$

$=\frac{10800}{125}$

= 86.4

≈ 86

#Learn more:

How many ice cubes of dimensions 2 cm x 2 cm x 3 cm can be put in a box of dimensions  20 cm x 5 cm x 3 cm?

https://brainly.in/question/9990601