Question

Find the length of the diagonal of each of the cuboid whose dimensions are given as length =24cm. , breadth= 18 cm, height= 10 cm.​

Answer 1

$\huge\mathbb{SOLUTION:-}$

• We have to find the diagonal of cuboid whose dimensions are given :-

• Length=24cm

• Breadth=18cm

• Height=10cm

$\bf\underline{\red{According\:to\: Question:-}}$

Now the diagonal of cuboid

• The formula of diagonal of cuboid is

$\boxed{\sf{Diagonal\:of\:cuboid=\sqrt{l{}^{2}+b{}^{2}+h{}^{2}}}}$

$\sf\implies Diagonal=\sqrt{(24){}^{2}+(18){}^{2}+(10){}^{2}}\\ \\ \sf\implies Diagonal=\sqrt{576+324+100}\\ \\ \sf\implies Diagonal=\sqrt{1000} \\ \\ \sf\implies Diagonal=100\sqrt{10}cm$

$\boxed{\sf{\purple{Diagonal\:of\:cuboid=100\sqrt{10}cm}}}$