Question
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?
Ask by Ortiz Munoz. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cereal box is 6 inches long.
Solution
To find the length, we start with the formula for the volume of a box:
Volume = Length × Width × Height
We know:
Volume = 216 cubic inches
Width = 3 inches
Height = 12 inches
Plug these values into the formula:
216 = Length × 3 × 12
Multiply 3 and 12 to simplify:
216 = Length × 36
Now, solve for Length:
Length = 216 ÷ 36 = 6 inches
So, the cereal box is 6 inches long.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
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! 🥣✨
