Question

In a cuboid of length,breadth,diagonal are 4cm,3cm,13cm.find its volume

Answer 1

Volume of cuboid = length×breadth×height
= 4cm × 3 cm × 13 cm
= 156 cm^3

Answer 2

Here, l=4cm b=3cm d=13
now we know that
$d = \sqrt{l { }^{2} +b {}^{2} + h {}^{2} } \\ so \: 13 = \sqrt{4 {}^{2} + 3 {}^{2} + h { }^{2} } \\ 169 = 16 + 9 + h { }^{2} \\ 169 = 25 + h { }^{2} \\ 144 = h { }^{2} \\ so \: \: h = 12cm$
now, volume= l×b×h
=4×3×12
=144cm^3