19. The cereal box is 12 inches tall, \( t \) is 3 inches wide. The volume is 216 cubic inches. How long is the cereal box?

Let's break down the problem! The volume of a rectangular box is calculated by multiplying its height, width, and length: \( V = h \times w \times l \). Given that the volume \( V \) is 216 cubic inches, the height \( h \) is 12 inches, and the width \( w \) (which is \( t \)) is 3 inches, we can plug in the values: \[ 216 = 12 \times 3 \times l \] Now simplifying it: \[ 216 = 36 \times l \] To find the length \( l \), divide both sides by 36: \[ l = \frac{216}{36} = 6 \] So, the length of the cereal box is 6 inches. And voilà! You’ve cracked the cereal box dimensions! 🥣✨