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Question

# The red line slices the cuboid horizontally from the centre as shown. Choose the value from the given options which does not represent the perimeter of any face after slicing.

A
10 cm
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B
14 cm
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C
15 cm
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D
16 cm
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Solution

## The correct option is C 15 cmWe know, perimeter of a rectangle = 2×(l+w) The 3 possible faces and the perimeter obtained on slicing the given cuboid horizontally along the red line are given below: Face 1 : Perimeter = 2×(5+3)=16 cm Face 2 : Perimeter = 2×(5+2)=14 cm Face 3 : Perimeter = 2×(2+3)=10 cm So, the perimeter of a face after slicing can't be 15 cm.

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