The length, breadth and height of a cuboid are in the ratio 5 :3:2.Its volume is 1920 cm³. Find the
Автор: Open Eye 4 TNPSC
Загружено: 2026-02-27
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Описание:
In this video, we solve a common geometry problem related to the Volume of a Cuboid, which is frequently asked in competitive exams like TNPSC.
Problem Statement:The length, breadth, and height of a cuboid are in the ratio 5:3:2. Its volume is 1920 cm³. Find the length of the cuboid.
Step-by-Step Solution:
Step 1: Let the dimensions be 5x, 3x, and 2x based on the given ratio [00:25].
Step 2: Use the Volume formula: V = L * B * H [00:55].
Step 3: Substitute the values: (5x)(3x)(2x) = 1920.
Step 4: Simplify to find 30x³ = 1920, which gives x³ = 64.
Step 5: Taking the cube root, we find x = 4 [01:39].
Step 6: Calculate the length: 5 * 4 = 20 cm [01:59].
Final Answer: Option C (20 cm).
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