List of top Quantitative Aptitude Questions on Mensuration asked in NCHMCT JEE

22 solid metallic cubes of side 4 cm are melted and 16 equal solid cylinders of height 7 cm are formed. Find the radius (in cm) of the cylinders so formed. (\(\pi=\frac{22}{7}\))
A wooden cuboidal box with lid has external dimensions 80 cm × 49 cm × 30 cm. If thickness of the wood is 2 cm, then find the volume of the wood (in cm³) used.
What is the area of an isosceles triangle whose perimeter is 11 cm and base is 5 cm?
If the length of the diagonal and the area of a rectangle are 25 m and 168 m\(^2\), respectively, then the longer side of the rectangle is:
A solid metallic cube having surface area 864 cm\(^2\) is melted to form 64 small solid cubes of the same size. The sum of the surface areas of all the small cubes so formed (in cm\(^2\)) is: