Question

A cubical vessel is 10m long and 8m wide. How high must it be made to hold 380 cubic metres of a liquid ? ( NCERT)​

Answer 1

Step-by-step explanation:

length = 10 m

breadth = 8 m

let height = h

given volume of cuboid =380 m³

volume of cuboid = l× b× h

380 = 10 × 8× h

380 ÷ 10 ×8 = h

4.75 m = h

Answer 2

Answer:

The vessel must be 4.75 m high to hold 380 m³ of a liquid.

Step-by-step-explanation:

We have given that,

Length of a cubodial vessel is 10 m and its breadth is 8 m.

The vessel can hold 380 m³ liquid.

We have to find the height of the vessel.

Now, we know that,

Volume of cuboid = Length * Breadth * Height

⇒ 380 = 10 * 8 * Height

⇒ Height = 380 / ( 10 * 8 )

⇒ Height = 380 / 80

⇒ Height = 190 / 40

⇒ Height = 19 ÷ 4

⇒ Height = 4.75 m

∴ The vessel must be 4.75 m high to hold 380 m³ of a liquid.

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Additional Information:

1. Cuboid:

A three dimensional rectangular figure is known as a cuboid.

2. A cuboid has its opposite faces of equal measures like a rectangle.

3. It has total 6 faces.

4. It has 12 edges.

5. It has 8 vertices.

6. Formulae related to cuboid:

1. Perimeter of cuboid:

Perimeter of cuboid = 4 * ( Length + Breadth + Height )

2. Volume of cuboid:

Volume of cuboid = Length * Breadth * Height