Question

how many times a cubical vessel can be filled from a completely filled water tank 3m × 2m× 1.5m,if an edge of the vessel is 50cm?

Answer 1

Heya !!!

This is your answer.

Given:-
Let us first convert them in cm.
3m = 300 cm.
2 m = 200 cm.
1.5 m = 150 cm.

Volume of cuboidal vessel = lbh
= (300 ×200×150) cm³.

Edge of second vessel= 50 cm

Volume of this vessel = edge³
= (50×50×50) cm³.

Hence the number of times the smaller vessel can be filled is ......

$= \frac{300 \times 200 \times 150}{50 \times 50 \times 50} \\ = 6 \times 4 \times 3 \\ = 72$
Hence the required answer is 72 times.

Hope it helps.....

Answer 2

Heya,

Given:-

Tank's measurement:-
Length = 3m = 3 × 100 = 300cm
Breadth = 2m = 2 × 100 = 200cm
Height = 1.5m = 1.5 × 100 = 150cm

Cubical vessel:-
Edge = 50cm

To find:-
How many times a cubical vessel can be filled from a completely filled water tank.

Solution:-

Volume of the tank = lbh
Volume of the tank = 300 × 200 × 150

Volume of cubical vessel = Edge^3
Volume of cubical vessel = 50 × 50 × 50

No. of times = 300 × 200 × 150/ 50 × 50 × 50
No. of times = 30 × 20 × 15/ 5 × 5 × 5
No. of times = 6 × 4 × 3
No. of times = 72 times.

Hope my answer helps you :)

Regards,
Shobana