Question

Find the length of the diagonal of a cuboid with length = 10cm Breadth= 8cm and height= 4cm
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Answer 1

Step-by-step explanation:

L X B X H

= 10 x 8 x 4

= 240

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Answer 2

Answer:

Given:-

l=10cm

b=8cm

h=4cm

Formula used:-

$d = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

Solution:-

$d = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

$d = \sqrt{ {10}^{2} + {8}^{2} + {4}^{2} }$

$d = \sqrt{100 + 64 + 16}$

$d = \sqrt{180}$

$d = \sqrt{ {2}^{2} \times 5 \times {3}^{2} }$

$d = 6 \sqrt{5}$

d=13.416cm

d=13.42 cm(approx)

Hence,

length of diagonal=13.42 cm