from the 4 corners of a square piece of paper of side 12cm., small squares of side 1cm, are cut off. the edges of this are bent up and joined to form a container of height 1cm. what is the capacity of the container ? if squares of side 2cm are cut off, what would be the capacity?
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Answer:100,128
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Given side of a square piece of paper (a) = 12cm
i) If 4 squares of side 1 cm from 4 corners of paper then the paper should be like figure 1.
Dimensions of the cut paper:
Length (L) = a - 2 = 12 - 2 = 10 cm
Breadth (B) = 10 cm,
Height (H) = 1 cm
Capacity of the container (V) = LBH
= 10 cm × 10 cm × 1 cm
= 100 cm³
= 100 litres
ii) If 4 squares of side 2 cm from 4 corners of paper then the paper should be like figure 2.
Dimensions of the cut paper:
Length (l) = a - 4 = 12 - 4 = 8 cm
Breadth (b) = 8 cm,
Height (h) = 2 cm
Capacity of the container = l × b × h
= 8 cm × 8 cm × 2 cm
= 128 cm³
= 128 litres
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