How many planks of size 2 m x 25 cm x 8 cm can be prepared from a wood

1.	How many planks of size 2 m x 25 cm x 8 cm can be prepared from a wooden block 5 m long, 70 cm broad and 32 cm thick, assuming that there is no wastage?
Answer» We know that, Volume of cuboid = Length × Breadth × Height Therefore, Total volume of the block = (500 × 70 × 32) = 1120000 cm³ Total volume of each plank = 200 × 25 × 8 = 40000 cm³ Hence, Total number of planks that can be made = \(\frac{Total\,volume\,of\,the\,block}{Volume\,of\,each\,plank}\) = \(\frac{1120000}{40000}\) = 28 planks

How many planks of size 2 m x 25 cm x 8 cm can be prepared from a wooden block 5 m long, 70 cm broad and 32 cm thick, assuming that there is no wastage?

Answer»

We know that,

Volume of cuboid = Length × Breadth × Height

Therefore,

Total volume of the block = (500 × 70 × 32)

= 1120000 cm³

Total volume of each plank = 200 × 25 × 8

= 40000 cm³

Hence,

Total number of planks that can be made = \(\frac{Total\,volume\,of\,the\,block}{Volume\,of\,each\,plank}\)

= \(\frac{1120000}{40000}\)

= 28 planks