Multiple choice

If the length and height of a brick increases by 10 % each respectively, and the breadth reduces by 20 %, what is the percentage change in the volume of the brick?

  1. $2.8$
  2. $3.0$
  3. $3.2$
  4. $3.6$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Volume = L * B * H. New volume = (1.1L) * (0.8B) * (1.1H) = 0.968 * (LBH). The change is 1 - 0.968 = 0.032, which is 3.2%.

AI explanation

Using the fractional equivalent method for percentage changes, the new volume is proportional to 1.1 multiplied by 0.8 multiplied by 1.1. This calculation results in 0.968, which means the new volume is 96.8% of the original volume. Therefore, the volume decreases by 100% minus 96.8%, resulting in a 3.2% percentage change.

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