Question

The dimensions of a room are 7m x 6m x 5m. The cost of whitewashing the walls of the room and the ceiling at the rate of Rs. 10.50 per sq.m. is

Answer 1

Answer:

Given:-

• Dimensions of a room = 7m x 6m x 5m.
• Rate of ceiling = Rs. 10.50 per sq m

Find:-

• Total cost of whitewashing the walls of the room and the ceiling is???

Solution:-

• Length = 7m
• Breadth = 6m
• Height = 5m

${ \boxed{ \sf{Area = 2h(l + b)}}}$

${ \to{2 \times 5(7 + 6)}}$

${ \to{10(13)}}$

${ \to{130}}$

So, Area of 4 walls of room is 130sqm

${ \boxed{ \sf{Area \: of \: cieling = l \times b}}}$

${ \to{7 \times 6 = 42 }}$

So, Area of ceiling is 42 sqm

Total area 4 walls and ceiling :-

${ \sf{Area \: of \: 4 \: walls \: of \: room + Area \: of \: cieling}}$

${ \to{130 + 42}}$

${ \to{172sqm}}$

So, Total area 4 walls and ceiling is 172 sqm

Total cost of white washing:-

Cost of white washing = Rs. 10.50 per sqm

Total cost = 172 × 10.50 = Rs. 1806

↪Therefore, Total cost of whitewashing the walls of the room and the ceiling is 1806₹