Question
19. The cereal box is 12 inches tall. It is 3 inches wide. The volume is 216 cubic inches. How long is the cereal box?
Ask by Haynes Macdonald. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cereal box is 6 inches long.
Solution
The volume of a rectangular box is calculated using the formula:
Volume = length × width × height.
Given that the height is 12 inches and the width is 3 inches, and knowing the volume is 216 cubic inches, we can set up the equation as follows:
length × 3 × 12 = 216.
Simplify 3 × 12 to get 36:
36 × length = 216.
Now, solve for the length by dividing both sides of the equation by 36:
length = 216 ÷ 36,
length = 6.
Therefore, the cereal box is 6 inches long.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To find the length of the cereal box, you can use the formula for the volume of a rectangular prism, which is Volume = Length × Width × Height. Given the volume is 216 cubic inches, the height is 12 inches, and the width is 3 inches, you can rearrange the formula to solve for the length: Length = Volume / (Width × Height) = 216 / (3 × 12) = 216 / 36 = 6 inches. So, the length of the cereal box is 6 inches! Now you're ready to pour that cereal!
