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
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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
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