Question

A cuboidal vessel is 10 metre long and 8 metre wide. How high must it be made to hold 16000 litres of a liquid

Answer 1

Step-by-step explanation:

let the height of vessel be x

volume of vessel = l X b X h

10 X 8 X x = 16000

x = 16000/80

x = 200m

Therefore height of a vessel = x = 200m

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Answer 2

✯Given✯

➥ Length of cuboid = 10m

➥ Breadth of cuboid = 8m

➥ Volume of cuboid = 16000L = 16000cm³

✯To find✯

➥ Height of the cuboid

✯Solution✯

➥ Volume of cuboid = Length × Breadth × Height

➥ 16000 = 10 × 8 × Height

➥ Height = 16000 ÷ 10 × 8

➥ Height = ¹⁶⁰⁰⁰⁄₈₀

➥ Height = 200

✲ ∴ The height of the cuboidal vessel is 200m ✲

✣ Verification :-

• Volume = Length × Breadth × Height
• 16000 = 10 × 8 × 200
• 16000 = 16000
• L.H.S = R.H.S

✵ Hence, the height is 200m ✵

➔ Know more :-

• Perimeter of cuboid :- 4 ( l + b + h )
• Diagonal of cuboid :- √l² + b² + h²

⇒ l is length of cuboid

⇒ b is breadth of cuboid

⇒ h is height of cuboid