Question

a cuboidal vessel is 10 metre long and 8 metre wide. how high must it be made to hold 380 cubic metres of a liquid?​

Answer 1

Given

• Length of the Cuboid = 10m
• Width of the Cuboid = 8m
• Capacity of the cuboidal vessel i.e., it's volume = 380 cubic meters.

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To find

• Height of the cuboid.

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Solution

• Let the height of the cuboidal vessel be h.

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★ We know that, volume of cuboid is given by

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☆ Volume = l × b × h

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• Putting the values

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→ Volume = 380

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→ l × b × h = 380

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→ 10 × 8 × h = 380

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→ 80 × h = 380

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→ h = 380/80

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→ h = 4.75 m

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Hence,

• The cuboidal vessel must be 4.75 m high to hold 380 cubic meters of liquid.