Question

A room contains 675 cu . m. of air . If the cost of carpeting its floor at Rs 50 per sq. metre is Rs 7500, find the height of room .

Answer 1

Step-by-step explanation:

$</p><p>\huge{\boxed{\boxed{\bf{\red{Hello!!!:}}}}}$...

hii mate hope my answer finds you in the pink of your health---

see dear..

Given, the room contains 675 cm^3 of air..

Cost of carpenting the floor @ rs.50/ sq.m=50

let l,b and h be the length ,breadth and height respectively...

so,50×l×b=7500

or,l×b=7500/50=150..

now,l×b×h=675

implies,h =675/150=4.5m..

$</p><p><font color="purple"> <font size="5"$ hope this helps you...

Answer 2

$\bold{Given}\begin{cases}\sf{Volume=675}\\\sf{Cost\:of\:carpating=7500}\\\sf{Rate\:=Rs.50}\end{cases}$

Question :-------- we have to Find Height of room ...

we know That, a room is in the shape of a cuboid and volume of cuboid is = length * breadth * Height ,

since , cost of carpeting is 7500 rs total and its rate is rs50 per m² ,

and we know that, area of floor = length * breadth .

so,

length * breadth = $\huge{\frac{</strong><strong>7</strong><strong>5</strong><strong>00}{</strong><strong>5</strong><strong>0</strong><strong>}}$ = 150m²

putting this value in Volume we can easily find out Height now,

so,

Height of room will be = Volume / (Length * Breadth)

Height = $\huge{\frac{</strong><strong>6</strong><strong>7</strong><strong>5</strong><strong>}{</strong><strong>1</strong><strong>5</strong><strong>0</strong><strong>}}$ = 4.5m

so,

Height oF room is = $\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:4.5m}}}}}}}}}}$

$\huge\underline\mathfrak\green{Hope\:it\:Helps\:You}$