Find the length of the diagonal of a cuboid with length = 10cm Breadth= 8cm and height= 4cm
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2 thoughts on “Find the length of the diagonal of a cuboid with length = 10cm Breadth= 8cm and height= 4cm<br /> ​”

1. Answer:

   Given:–

   l=10cm

   b=8cm

   h=4cm

   Formula used:–

   [tex] d = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } [/tex]

   Solution:–

   [tex] d = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} } [/tex]

   [tex]d = \sqrt{ {10}^{2} + {8}^{2} + {4}^{2} } [/tex]

   [tex]d = \sqrt{100 + 64 + 16} [/tex]

   [tex] d = \sqrt{180} [/tex]

   [tex]d = \sqrt{ {2}^{2} \times 5 \times {3}^{2} } [/tex]

   [tex]d = 6 \sqrt{5} [/tex]

   d=13.416cm

   d=13.42 cm(approx)

   Hence,

   length of diagonal=13.42 cm

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2. Step-by-step explanation:

   L X B X H

   = 10 x 8 x 4

   = 240

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