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Question

# A metal sheet of thickness 2 cm was used to make a container of external dimensions 30 cm×15 cm×25 cm which is open from above. Find the volume of the container.

A

6578 cm3

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B

11250 cm3

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C

12250 cm3

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D

4672 cm3

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Solution

## The correct option is D 4672 cm3 External volume of tank =30 cm×15 cm×25 cm =11250 cm3 Internal dimensions = External dimensions- 2 ×(thickness) Since the tank is open from the top, internal height = External height - thickness ∴ Internal dimensions =(30−4)×(15−4)×(25−2) =26 cm×11 cm×23 cm Hence, inner volume =26 cm×11 cm×23 cm =6578 cm3 Hence, the volume of the container =External volume of tank−internal volume of the tank =11250 cm3 − 6578 cm3 =4672 cm3

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