Question

4. The outer measurements of a cuboidal tank
is length 5 m, breadth 4 m and height 2 m.
Square tiles of length 20 cm are to be fixedon its outer surfaces except the base. Find
the number of tiles required. Find the costof tiles if a box of 10 tiles costs = ₹250.​

Answer 1

10 tiles =250/–

1 tile=250/10

1 tile =25/–

total surface area of the tank=( lb+bh+hl)

= (5×4+4×2+2×5)

= (20+8+10)

= 38m³

we have to change meters to centimetres

that is ,

38×100=3800 cm

now find area of each tile:

area of square = a²=20²=4000

area of each tile is 4000

we have to divide 3800/2

the answer will be 1900

so it would take 1900 tiles

hope it helps you please mark me as brainliest

Answer 2

$\huge\red{\underline{\underline{\pink{Ans}\red{wer:}}}}$

$\sf{1400 \ tiles \ of \ Rs \ 35000 \ are \ required.}$

$\sf\orange{Given:}$

$\sf{For \ cuboidal \ tank,}$

$\sf{\implies{Length (l)=5 \ m}}$

$\sf{\implies{Breadth (b)=4 \ m}}$

$\sf{\implies{Height (h)=2 \ m}}$

$\sf{For \ square \ tiles,}$

$\sf{Side(l)=20 \ cm}$

$\sf{Each \ box \ of \ tiles \ cost=Rs \ 250}$

$\sf\pink{To \ find:}$

$\sf{\implies{Number \ of \ tiles \ required}}$

$\sf{\implies{Cost \ of \ tiles}}$

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

$\sf{\implies{Outer \ surface \ area \ of \ cuboidal}}$

$\sf{tank \ except \ base=2(bh+lh)+lb}$

$\sf{=2(4×2+5×2)+4×5}$

$\sf{=2(8+10)+20}$

$\sf{=2(18)+20}$

$\sf{=36+20}$

$\sf{=56 \ sq \ m}$

$\sf{For \ square \ tile,}$

$\sf{1cm=0.01m}$

$\sf{\therefore{20cm=0.2m}}$

$\sf{Lateral \ surface \ area=0.2×0.2}$

$\sf{=0.04 \ m^{2}}$

$\sf{Number \ of \ tiles \ required}$

$\sf{=\frac{Outer \ surface \ area \ of \ cuboidal}{Lateral \ surface \ area \ of \ tile}}$

$\sf{=\frac{56}{0.04}}$

$\sf{=\frac{5600}{4}}$

$\sf{=1400}$

$\sf{\therefore{1400 \ tiles \ are \ required.}}$

$\sf{1 \ box \ has \ 10 \ tiles}$

$\sf{\frac{1400}{10}=140 \ boxes}$

$\sf{Cost \ of \ one \ box=Rs \ 250}$

$\sf{\therefore{Cost \ of \ 140 \ boxes=140×250}}$

$\sf{=Rs \ 35000}$

$\sf\purple{\tt{\therefore{1400 \ tiles \ of \ Rs \ 35000 \ are \ required.}}}$