Question

A swimming pool which is 20m in length 15m in breadth and 4m in depth. Find the cost of cemmenting the floor and walls at the rate of rs 12per m square.

Answer 1

Answer :

• Surface area of cuboid is 580m²
• Rs.6960 is the cost of cemmenting the floor and walls at the rate of Rs.12 per m square

Given that :

• A swimming pool which is 20m in length 15m in breadth and 4m in depth

To find :

• The cost of cemmenting the floor and walls at the rate of Rs 12 per m square

Solution :

Given,

• Length of swimming pool = 20m
• Breadth of swimming pool = 15m
• Height of swimming pool = 4m

To find the cost of cemmenting the floor and walls we have to find the surface area of cuboid

Given , the surface area of cuboid to be cemmented so,

➞ Surface area of the cuboid = Area of 4 walls + Area of floor

➞ Surface area of the cuboid = Lateral surface area of cuboid + area of floor

We know that

• Surface area of the cuboid = 2h(l + b) + lb

Where,

• l is length
• b is breadth
• h is height

Substituting the value :

➞ Surface area of cuboid = 2h(l + b) + lb

➞ Surface area of cuboid = 2 × 4 (20 + 15) + (20)(15)

➞ Surface area of cuboid = 8(35) + 300

➞ Surface area of cuboid = 280 + 300

➞ Surface area of cuboid = 580m²

Hence, Surface area of cuboid is 580m²

And also Given that,cost of cemmenting the floor and walls at rate of 12per m square so,

➞ 12 × 580

➞ Rs.6960

Hence,Rs.6960 is the cost of cemmenting the floor and walls at the rate of Rs.12 per m square

Answer 2

Given :

• Length of Swimming Pool is, l = 20m
• Breadth of Swimming Pool is, b = 15m
• Height of Swimming Pool is, h = 4m

To Find :

• The cost of cemmenting the floor and walls at the rate of rs 12 per m square.

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Solution :

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☆ The Surface Area of Cuboid be Cemented is given by :

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• The Surface Area of the Cuboid = Area of 4 walls + Area of Floor.

• The Surface Area of the Cuboid = Lateral Surface Area of Cuboid + Area of Floor.

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$\bigstar\:\sf{\red{The \:Surface \:Area \:of \:the \:Cuboid\:is\:2h(l\:+\:b)\:+\:lb}}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{2\:\times\:4\:\times\:(20\:+\:15)\:+\:20\:\times\:15}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{8\:\times\:35\:+\:300}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{280\:+\:300}$

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$\:\:\:\:\:\:\dashrightarrow\:\sf{580m}^{2}$

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For Rs.12 per square metre :

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$\:\:\:\:\:\:\::\:\Longrightarrow\:\sf{580\:\times\:12}$

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$\:\:\:\:\:\:\::\:\Longrightarrow\:\sf{6960}$

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Therefore,

• The Cost of Cementing its floor and walls at rate of Rs. 12 per square metre is Rs.6960.

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