cuboid!!!
Level
pending
The sum of length, breadth and depth of cuboid is 19cm and its diagonal is 55√cm. Its volume is ???
note : find out nearest possible answer
461
125
386
236
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1 solution
firstly question has two changes
1----- we have to find surface area
2----- diagonal is 5 under root 5
Let the length, breadth and height of the cube be l cm, b cm and h cm respectively. Then,
and,
l^2 + b^2 + h^2 = 121 .............(ii)
Now, l + b + h = 19
l^2 + b^2 + h^2 + 2(lb + bh + lh) = 361
121 + 2(lb + bh + lh) = 361
2(lb + bh + lh) = 240
Hence, the surface area of the cuboid is 240 cm^2