Question

how many planks each of which 2cm long, 3 cm broad and 4 cm thick can be cutt off from a wooden block 6m long ,18 cm broad and 44cm thick? ​

Answer 1

Step-by-step explanation:

Dimension of plank

• length lp = 2 cm
• breadth bp = 3 cm
• height hp = 4 cm

Dimension of wooden block

• length lw = 6 cm
• breadth bw = 18 cm
• height hw = 44 cm

Numbers of Planks = n

n × volume of one plank = Volume of wooden block

n × ( lp × bp × hp ) = lw × bw × hw

n × 2 × 3 × 4 = 6 × 18 × 44

n × 24 = 4752

n = 4752 / 24

n = 198 planks

Answer 2

Given,

Wooden Block:

Length = 6m

$☆\;\boxed{\sf{1m = 100cm}}$

✧ 6m = 6×100cm ➝ 600cm

Breadth = 18cm

Height (Thick) = 44cm

$☆\;\boxed{\sf{Volume\;of\; Cuboid = Length×Breadth×Height}}$

Volume of Wooden Block

$→\;{\sf{600×18×44}}$

$◕➜\;{\bf{4,75,200cm³}}$

_________________________

Wooden Plank:

Length = 2cm

Breadth = 3cm

Height = 4cm

$☆\;\boxed{\sf{Volume\;of\; Cuboid = Length×Breadth×Height}}$

Volume of Wooden Plank

$→\;{\sf{2×3×4}}$

$◕➜\;{\bf{24cm³}}$

_________________________

Total No of Wooden Planks can be cut-off from Wooden Block

=> $\Large\tt{\frac{Volume\;of\;Wooden\;Block}{Volume\;of\;Wooden\;Plank}}$

$→\;\Large{\sf{\frac{475200}{24}}}$

$→\;\Large{\cancel{\sf{\frac{475200}{24}}}}$

$◕➜\;{\bf{19,800}}$

Total Wooden Planks can be cut-off are

☞$\Large{\red{\bold{19,800\;Planks}}}$

Hope It Helps You ✌️