Question
Download Solution PDFA right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Square-based prism is generally cube or cuboid in shape
Calculation:
Total Height = 9
Height of each part = 3
Therefore ratio of area of First : Middle : Bottom
42 × 3 : 42 × 3 : 42 × 3
1 : 1 : 1
When the prism is cut in three parts of equal heights then the volumes of all parts are equal
So, the ratio of the volume of the top, middle and the bottom part = 1: 1: 1
∴ The required ratio is 1 ∶ 1 ∶ 1
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