Mensuration Practice Test 2

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Question : 24 of 40

Marks: +1, -0

The maximum length of a pencil that can be kept in a rectangular box of dimensions 8 cm × 6 cm × 2 cm is:

2 $√{13}$ cm
2 $√{14}$ cm
2 $√{26}$ cm
10 $√2$ cm

Solution:

Sides of cuboids = 8 cm, 6 cm and 2 cm.
Diagonal of cuboids =

√{a^2+b^2+c^2}

d =

√{(8)^2+(6)^2+(2)^2}

d =

√{64+36+4}

d =

√{104}

=

2√{26}

cm.

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