An open rectangular container with external dimensions of 54 cm x 36 cm x 21 cm is made of 1 cm thick metal. Find the volume of milk it can hold. (Hint: The container is open, so thickness of metal will be subtracted from height only once)

Given:  An open rectangular container with external dimensions of 54 cm x 36 cm x 21 cm is made of  1 cm thick metal

To do: Find the volume of milk it can hold

Answer:

The volume of a rectangular or cuboidal container = length$\times$ breadth $\times$ height = lbh

The length of the container(the thickness of metal will be subtracted from length twice)

= $54 cm $-$ 2 cm = 52$ cm

The breadth of the container(the thickness of metal will be subtracted from breadth twice)

= $36 cm $-$ 2 cm = 34 $cm

The height of the container(the thickness of metal will be subtracted from height only once)

= $21 cm $- $1 cm = 20$ cm

The volume of a rectangular or cuboidal container = length $\times$ breadth $\times$ height = lbh =

52 x$\times$34 $\times$ 20 = 35360 cm^3

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Updated on: 10-Oct-2022

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