Question

A rectangular block is heated from 0 degree celsius to 100 degree celsius the percentage increase in its length is 0.10% what will be the percentage increase in its volume

Answer 1

Answer:

The percentage increase in the volume of the block when heated from 0°C to 100°C is 0.1%.

Step-by-step explanation:

Step 1 : Let the dimensions of the rectangular block be x, y and h.

Let the length be x, the width be y and the height be h.

Step 2 : Calculate the volume of the rectangular block below :

Volume = Length × Width × height

Volume of the block = x × y × h = xyh

Step 3 : Calculate the new length if it changes by 0.10% and the new volume.

0.10/100 = 0.001

The length increases by 0.001x

The new length is = x + 0.001x = 1.001x

The new volume = 1.001x × y × h = 1.001xyh

Step 4 : Calculate the change in volume:

Change in volume = 1.001xyh - xyh = 0.001xyh

The percentage change in the volume is = 0.001xyh / xyh × 100% = 0.1%

The volume also changes by 0.10%.