Question

A chemical is collected in a tray 2.5 m long and 2 m wide. Then, this chemical is poured into a glass vessel, which is 50 cm long and 25 cm wide. If the height of chemical in the tray was 6.5 cm, what will be the height of chemical in the glass vessel?​

Answer 1

Step-by-step explanation:

Total volume of chemical collected in tray,

V = 2.5 m * 2m * 6.5cm

V = 250cm * 200cm * 6.5cm

V = 325000 cm³

Same volume is poured into vessel, hence

325000 cm³ = 50cm * 25cm * x

where x is the height of the vessel

x = 325000 / ( 50 * 25)

x = 260cm

Hence height of the vessel is 260cm or 2.6 m long.

Answer 2

Answer:

0.65cm

Step-by-step explanation:

So imagine the tray to be a rectangular figure..

height of the chemical in the tray = height of the rectangular tray

so Volume of the rectangular tray = Length * Width * Height = 2.5m * 2m * 6.5cm

Volume of the glass vessel = Length * Width * Height = 50cm * 25cm *

'x' cm = 0.5m * 0.25m * 'x' cm (making the units same as the corresponding ones for the rectangular tray)

so we can bring this to a ratio and substitute for x:

so,

2.5 : 2 : 6.5 :: 0.5 : 0.25 : x

thus x = 2*6.5*0.5*0.25/2.5 = 0.65cm will be the height of the chemical in the glass vessel.

Thanks, I've just figured this answer out in my own way.. anybody can correct me if I'm wrong.