Question

If a man wants to colour his room except for the ceiling and floor and length breath height of the room are 2m x 3m x 2.5m, find that total cost if rate of colour is T8/m.
​

Answer 1

${\huge{\underline{\underline{\rm{Question:-}}}}}$

Q) A man wants to colour his room except the ceiling and floor . The length , breadth and height of the room are 2m x 3m x 2.5m . Find the total cost if rate of colouring is Rs 8 per m² .

${\huge{\rm{\underline{\underline{Answer\checkmark}}}}}$

${\large{\rm{\underline{\star\;Given:-}}}}$

• Length = 3m
• Breadth = 2m
• Height = 2.5m
• Rate of colouring = Rs 8 per m²
• Floor and Roof is not coloured .

${\large{\rm{\underline{\star\;To\;Find:-}}}}$

• Cost of colouring .

${\large{\rm{\underline{\star\; Solution:-}}}}$

Since Floor and Roof isn't painted (coloured) So ,

We have to paint only on 4 walls (CSA)

Using the Formula ↓

$\boxed{ \sf{area \: of \: 4 \: walls \: or \: csa = 2(length + breadth) \times height}}$

put the values ,

$\rm \mapsto \: csa = 2(3 + 2) \times 2.5 \: {m}^{2}$

$\mapsto \rm \: csa = 2 \times 5 \times 2.5 \: {m}^{2}$

$\rightarrow \underline{ \boxed{ \rm{ \pink{csa = 25 \: {m}^{2} }}}}$

Now ,

$\mapsto \rm \: cost = rate \times area$

$\mapsto \rm \: cost =rs \: 25 \times 8 \:$

$\mapsto \underline{ \boxed{ \pink{ \rm {cost = rs \: 400}}}}$

So ,

The cost of colouring would be Rs 400 .

_________________________

${\large{\underline{\rm{\star\;Know\;More:-}}}}$

• TSA of Cuboid = 2(lb+bh+lh)

• CSA of Cuboid = 2(l+b)×h

• Volume of Cuboid = lbh

• unit of volume = unit³

• unit of surface area = unit²