Question

08. Find the area of four walls of a room whose l = 10 m, b = 8 m and h = 6 m. Also find the cost
of whitewashing the walls if the rate of whitewashing is * 50 per sq. m.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

$\huge{ \orange{ \underline{ \overline{ \boxed{ \blue{ \mathbb{ANSWER}}}}}}}$

$\sf{ \green{ \underline{ \underline{GIVEN : }}}}$

• Length (l) = 10 m
• Breadth (b) = 8 m
• Height (h) = 6 m
• Rate of washing = Rs.50/sq. m

$\sf{ \green{ \underline{ \underline{TO \: \: FIND : }}}}$

• Area of the four walls i.e Lateral Surface Area.

$\sf{ \green{ \underline{ \underline{SOLUTION : }}}}$

We know, here Area of four walls means Lateral Surface Area of the room.

By applying the formula of Lateral Suface Area,

$\boxed{ \implies \sf{ L.S.A = 2h ( l + b ) }}$

[On putting the values from the given]

$\implies \: \sf{L.S.A = 2(6) [ 10 + 8 ]}$

$\implies \: \sf{L.S.A = 12 \times 18}$

$\implies \: \sf{L.S.A = 216 {m}^{2} }$

Hence, the area of the four walls of the rooms is 216 sq. m

Now, lets us find out the cost for whitewashing the walls.

$\boxed{ \sf{ Cost \: of \: washing = Rate \: of \: washing × Total \: Area}}$

$\sf{ Cost \: of \: washing = 50 \: \times \: 216}$

$\sf{ Cost \: of \: washing = \: Rs. 10800 \: } \:$

Hence, the cost of white washing is Rs. 10,800

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