Question

Vegetable ghee is stored in a rectangular vessel of internal dimensions 60cm x 10cm x 45cm. It is transferred into identical cubical vessels. If the internal length of each cubical vessel is 10cm, how many vessels are required to empty the rectangular vessel?

a. 18 vessels
b. 27 vessels
c. 54 vessels
d. 81 vessels

Answer 1

To empty the rectangular vessel, 27 identical cubical vessels are required.

Step-by-step explanation:

To determine the number of cubical vessels required to empty the rectangular vessel, we need to find the volume of both the rectangular vessel and the cubical vessel. First, let's find the volume of the rectangular vessel:

Volume = length × width × height

Volume = 60 cm × 10 cm × 45 cm = 27,000 cubic cm

Next, let's find the volume of each cubical vessel:

Volume = length × length × length

Volume = 10 cm × 10 cm × 10 cm = 1,000 cubic cm

Now, let's calculate the number of cubical vessels required:

Number of vessels = Volume of rectangular vessel / Volume of cubical vessel

Number of vessels = 27,000 cubic cm / 1,000 cubic cm = 27 vessels

Therefore, option b. 27 vessels are required to empty the rectangular vessel.