Question
A rectangular cardboard sheet has length $32\ cm$ and breadth $26\ cm$. Squares each of side $3\ cm$, are cut from the corners of the sheet and the sides are folded to make a rectangular container. Find the capacity of the container formed.
✓
Answer
Length of sheet $= 32 \ cm$
Breadth of sheet $= 26 \ cm$
Side of each square $= 3\ cm$
$\therefore$ Inner length $= 32 - 2 \times 3 = 32 - 6 = 26 \ cm$
Inner breadth $= 26 - 2 \times 3 = 26 - 6 = 20 \ cm$
By folding the sheet, the length of the container $= 26 \ cm$
Breadth of the container $= 20 \ cm$ and height of the container $= 3 \ cm$
$\therefore$ Vol. of the container $= l \times b \times h$
$= 26 \ cm \times 20 \ cm \times 3 \ cm$
$= 1560 \ cm^3$
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