# How Many Planks Each of Which is 3 M Long, 15 Cm Broad and 5 Cm Thick Can Be Prepared from a Wooden Block 6 M Long, 75 Cm Broad and 45 Cm Thick? - Mathematics

How many planks each of which is 3 m long, 15 cm broad and 5 cm thick can be prepared from a wooden block 6 m long, 75 cm broad and 45 cm thick?

#### Solution

Length of the wooden block = 6 m

$= 6 \times 100 cm ( \because 1 m = 100 cm)$

= 600 cm

Breadth of the block = 75 cm

Height of the block = 45 cm

$\text { Volume of block = length } \times \text { breadth } \times \text { height }$

$= 600 \times 75 \times 45$

$= 2025000 {cm}^3$

Again, it is given that the length of a plank = 3 m

$= 3 \times 100 cm ( \because 1 m = 100 cm)$

= 300 cm

Height = 5 cm

$\text { Volume of the plank = length } \times\text { breadth } \times \text { height }$

$= 300 \times 15 \times 5 = 22500 {cm}^3$

$\therefore\text { The number of such planks } = \frac{\text { volume of the wooden block }}{\text { voume of a plank }} = \frac{2025000 {cm}^3}{22500 {cm}^3} = 90$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 21 Mensuration - II (Volumes and Surface Areas of a Cuboid and a Cube)
Exercise 21.2 | Q 10 | Page 15