Question

8) A swimming pool is 20 m in length, 15 m in breadth, and 4 m in depth. Find the cost of cementing its floor and walls at the rate of RS 12 per square metre​

Answer 1

➲ Given that, A swimming pool is 20 m in length,15 m in breadth, and 4 m in depth.

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To Find:

• Find the cost of cementing its floor and walls at the rate of RS 12 per square metre.

Solution:

$\sf \underline \purple{ \bigstar \: according \: to \: the \: question : }$

➷breadth: 15m

➷depth : 4m

➷length:20m

$\underline {\rm{\bigstar now \: first \: let \: us \: find \: the \: area \: of \: the \: floor}} \:$

As it's rectangular:

$\sf : \implies area \: of \: floor = lenght \times breadth \\ \\ \\ \sf : \implies area \: of \: floor =20 \times 15m \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf : \implies area \: of \: floor = \blue{300 {m}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\underline {\rm{ \bigstar \:now \: \: let \: us \: find \: the \: area \: of \: the \: walls}}$

$\sf : \implies area \: of \: walls=2(20 \times 4) + 2(15 \times 4) \\ \\ \\ \sf : \implies area \: of \: walls=2 \times 80 + 2 \times 60 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf : \implies area \: of \: walls=160 + 120 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf : \implies area \: of \: walls= \blue{280 {m}^{2} }\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Now, let's add up the areas,

$\sf : \implies \: total \: area \: to \: be \: cemented = 300 + 280 \\ \\ \\ \sf : \implies \: total \: area \: to \: be \: cemented = \blue{580 {m}^{2}} \: \: \: \: \: \:$

Now, the cost when cemented equals:

$\sf : \implies \: total \:cost \: to \: be \: cemented = rs.580 \times 12 \\ \\ \\ \sf : \implies \: total \:cost \: to \: be \: cemented =\blue{ rs.6960} \: \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: total \:cost \: to \: be \: cemented = rs.6960} }}}\bigstar}$

hope this helps:)