Question

volume of a cuboid is 2160 cm³ and length of diagonal is 25 cm.if length of cuboid is 20 cm then find its breadth and height?​

Answer 1

Answer:

V=2160

l×b×h=2160

20×bh= 2160

therefore, b×h=108cm

now, diagonal =square root(l^2+b^2+h^2)

25= square root(400+b^2+h^2)

squiring both side

625= 400+b^2+h^2

b^2+h^2=225

and bh = 108

now (h+b)^2= 441 so b+h = 21

and b-h = 3 after solving we find, b=12, h=9