Question

A cubodial vessel is 10 m long and 8 m wide. What height must it be made to hold
480 cubic metres of a liquid.
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Answer 1

Solution :

We are given,

• Length of the cuboidal vessel = 10 m
• Breadth of the cuboidal vessel = 8 m
• Volume of the cuboid vessel = 480 m³

Knowledge Required,

→ Formula of volume of cuboid :-

• Volume of cuboid = l × b × h

where,

• l, b and h are the length, breadth and height of the cuboid respectively.

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→ Volume = l × b × h

→ 480 = 10 × 8 × h

→ 480 = 80 × h

→ 480/80 = h

→ 48/8 = h

→ 6 = h

Height of the cuboidal vessel = 6 m

The cuboidal vessel must be of height, 6 m to hold 480 cubic metre of liquid.

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Let's verify the answer :-

Substitute the value of h in 480 = 10 × 8 × h

LHS = 480

Taking RHS,

→ 10 × 8 × h

→ 10 × 8 × 6

→ 480

RHS = 480

LHS = RHS

Hence, verified.

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Know MorE ::

• Total surface Area of cuboid = 2(lb + bh + hl)
• Perimeter of cuboid = 4 (length + breadth + height)
• Total surface area of cube = 6 × side²
• Volume of cube = side³
• Perimeter of cube = 12 × side