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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