Embibe Experts Solutions for Exercise 1: West Bengal Board-2019

The length, breadth and height of a cuboidal room be $a$ unit, $b$ unit, and $c$unit respectively and $a+b+c=25, ab+bc+ca=240.5$, then find the length of the longest rod to be kept inside the room.

If the side of a cube is $a$ unit and the diagonal of the cube is $d$ unit then the relation between $a$ and $d$ will be.

Each side of a cube is decreased by $50\%.$ Calculate the ratio of the volumes of the original and changed cube.

 If two cubes of the length of each side $2\sqrt{6}cm$ are placed side by side, then the length of the diagonal of the cuboid so produced is