The coefficient of linear expansion of copper is 17 × 10-6 K-1. A block of copper 30 cm wide, 45 cm long, and 10 cm thick is heated from 0°C to 100°C What is the change in the volume of the block?

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Answer:The change in volume is

Explanation:From the question we are told that

The coefficient of linear expansion is

The width of the block is

The length is

The thickness is

The initial temperature is

The final temperature is

The initial volume is mathematically represented as

substituting values

Generally the expansion equation is mathematically represented as

where is the new length

substituting values

The new width is evaluated as

substituting values

The new thickness is

substituting values

The new volume is mathematically evaluated as

substituting values

Therefore