Question

the cost of painting the four wall of room is 3300 rs ata the rate of 5.50 rs if the floor the hall is inshape of a square of a square of side 10 m find the height of the room
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Answer 1

Answer:

★Correct Question★

• The cost of painting the four wall of room is Rs 3300 at the rate of Rs 5.50 per m². If the floor of the hall is in the shape of a square of side 10 m, find the height of the room?

★Answer★

Given :-

• The cost of painting the four wall of room is Rs 3300 at the rate of Rs 5.50 per m².
• The floor of the hall is in the shape of a square of side 10 m.

To find :-

• Height of the room

Formula used :-

${\red\bigstar\: { \boxed{\small{\bold\green{Area \: of \: 4 \: walls_{(Cuboid)}\:\leadsto\:2 \times (l + b) \times h }}}}} \:★$

where,

• l = Length of Cuboid
• b = Breadth of Cuboid
• h = Height of Cuboid.

Solution:-

As Room have square floor. So, it means

Length of the room be 10 m

Breadth of the room be 10 m.

Let height of the room be 'h' m.

The cost of painting the four wall of room is Rs 3300 at the rate of Rs 5.50 per m².

$\bf\implies \:Area \: of \: 4 \: walls ={\cancel\dfrac{3300}{5.50}}600 \: {m}^{2}$

We know,

${\red\bigstar\: { \boxed{\small{\bold\green{Area \: of \: 4 \: walls_{(Cuboid)}\:\leadsto\:2 \times (l + b) \times h }}}}} \:★$

Substitute the values of Area = 600, l = 10 and b = 10, we get

$\bf\implies \:600 = 2 \times (10 + 10) \times h$

$\bf\implies \:600 = 2 \times 20 \times h$

$\bf\implies \:600 = 40h$

$\bf\implies 15\:{\cancel\dfrac{600}{40}=h}$

$\bf\implies \:h = 15 \: m$

$\bf\implies \:Height \: of \: the \: room \: = 15 \: m</p><p>$

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Additional Information

Cube: 

• A cube is a three-dimensional shape which is defined XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal dimensions.

Cuboid: 

• A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.

Formula's of Cube :-

• Total Surface Area = 6(side)²
• Curved Surface Area = 4(side)²
• Volume of Cube = (side)³
• Diagonal of a cube = √3(side)
• Perimeter of cube = 12 x side

Formula's of Cuboid

• Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)
• Curved Surface area = 2 height(length + breadth)
• Volume of the cuboid = (length × breadth × height)
• lDiagonal of the cuboid =√(l² + b² + h²)
• Perimeter of cuboid = 4 (length + breadth + height)

Answer 2

Answer:

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Step-by-step explanation:

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