Question

25. Number of cubes of 5cm. edge, which can be formed from a cuboid of length 20
breadth 15cm and height 10cm is-
(a) 12 (b) 20 (c) 15 (d) 24​

Answer 1

Answer:

From a 20cm×15cm×10cm cuboid, how many cubes of edge 5cm can be formed? Divide each dimension by 5 and multiply the results together. 4 x 3 x 2 = 24 cubes of edge length 5 cm.

Answer 2

Answer :

d) 24

Given :

• Edge of cube (s) = 5 cm
• Length of cuboid (l) = 20 cm
• Breadth of cuboid (b) = 15 cm
• Height of cuboid (h) = 10 cm

To find :

• Number of cubes to be formed

Solution :

Volume of one cube = (edge)³

= 5³

= 125 cm³ .

Volume of cuboid = Length × breadth × height

= 20 × 15 × 10

= 3000 cm³

Number of cubes = $\tt \dfrac{Volume\ of\ cuboid}{Volume\ of\ each\ cube}$

$\tt = \dfrac{3000}{125}$

= 24

$\underline{\sf \therefore Number\ of\ cubes\ formed\ is\ 24}$