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
-
A.
1cm -
B.
3cm -
C.
5cm -
D.
6cm
Correct Answer: Option C
Explanation
Volume of a cube with side a cm = a(^3)
a(^3) = 64 (implies) a = 4cm
Base area of a cube = a(^2)
= 4(^2)
= 16 cm(^2)
(implies) Base area of the cuboid = 16 cm(^2)
Volume of cuboid = Base area x height
80 = 16 x h
h = (frac{80}{16})
= 5 cm