A cuboid of dimensions 50 cm × 40 cm × 30 cm is cut into k cubes. What is the least possible value of k?

Question

A cuboid of dimensions 50 cm × 40 cm × 30 cm is cut into k cubes. What is the least possible value of k?
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Solution 1

To find the least possible value of k, we need to find the volume of the smallest cube that can be cut from the cuboid.

Step 1: Find the greatest common divisor (GCD) of the dimensions of the cuboid. The GCD of 50 cm, 40 cm, and 30 cm is 10 cm. This means the smallest cube that can be cut from the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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