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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

Answer in Brief

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?

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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

Breadth = 15 cm, 

Height = 5 cm

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

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

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

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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
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