A cube and cuboid have the same base area. The volume of the cube is 64cm\(^3\) while that of the cuboid is 80cm\(^3\). Find the height of the cuboid

jock

5 years ago

volume of a cube=a^3
64=a^3
cube root both side
a=4cm
volume of a cuboid=a*b*h
80=abh
cube base area=cuboid base area
a^2=ab
when a=4cm
4^2=ab
ab=16cm
from the volume of cuboid
abh=80
where ab=16cm
16h=80
h=80/16
h=5cm