The Ultimate Diablo 4 Tier List – Hidden Gems Every Player Should Know!


A rectangular prism has dimensions 4 cm by 5 cm by 6 cm. If each dimension is increased by 50%, what is the new volume?
cm becomes \( 4 \times 1.5 = 6 \, \text{cm} \)
cm becomes \( 5 \times 1.5 = 7.5 \, \text{cm} \)
cm becomes \( 6 \times 1.5 = 9 \, \text{cm} \)
Then, calculate the new volume:
\[ 6 \times 7.5 \times 9 = 405 \, \text{cubic cm} \]
A pendulum swings with a period of 2 seconds. If the length of the pendulum is increased by 44%, what will be the new period?
The period of a pendulum is given by \( T = 2\pi \sqrt{\frac{L}{g}} \). If \( L \) increases by 44%, the new length is \( 1.44L \). The new period \( T' \) is:
\[ T' = 2\pi \sqrt{\frac{1.44L}{g}} = 2\pi \sqrt{1.44} \sqrt{\frac{L}{g}} \]
\[ T' = \sqrt{1.44} \times 2 \approx 1.2 \times 2 = 2.4 \, \text{seconds} \]