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:

3

Step-by-step explanation:

HCF OF 30,24 AND 15 IS 3

Answer 2

Volume of Cuboid = 30 × 24 × 15 = 10800 cm³

(i) No. of 3cm side cubes that can be placed =

Vol. of Cuboid / Vol. of Cube

= 10800/ 27

= 400 Cubes

(ii) No. of 4cm side cubes

= 10800/ 64

= 168.75 ≈ 168 Cubes

(iii) No. of 5cm side cubes

= 10800/ 125

= 86.4 ≈ 86 Cubes