Question

How many planks of size 4 meter × 17.5 centimeter × 18 centimeter can be made from a wooden block 8 meter long, 35 centimeter width and 54 centimeter thick .

Answer 1

Given :-

Dimensions of Plank :

• Length = 4m = 400cm
• Breadth = 17.5cm
• Height = 18cm

Dimensions of Wooden block :

• Length = 8m = 800cm
• Breadth = 35cm
• Height = 54cm

To Find :-

• How many Planks can be made from that wooden block

Solution :-

★ Volume of Plank ★

⇒ Volume of Plank = L × B × H

⇒ Volume of Plank = 400 × 17.5 × 18

⇒ Volume of Plank = 7000 × 18

⇒ Volume of Plank = 126,000cm³

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★ Volume of Wooden block ★

⇒ Volume of Wooden block = L × B × H

⇒ Volume = 800 × 35 × 54

⇒ Volume = 28,000 × 54

⇒ Volume = 1,512,000cm³

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★ No. of Plank ★

⇒ No. of Plank = Volume of block ÷ Volume of Plank

⇒ No. of Plank = 1512000 ÷ 126000

⇒ No. of Plank = 1512 ÷ 126

⇒ No. of Plank = 12

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Therefore, 12 Planks can be made from the Wooden block

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