Select the correct answer from each drop-down menu. Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic Inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V-wh, where is the length, wis the width, and is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. X= Is it possible for the height of the box to be 13 Inches?
Select the correct answer from each drop-down menu. Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic Inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V-wh, where is the length, wis the width, and is the height. Complete the equation that models the volume of the box in terms of its height, x, in inches. X= Is it possible for the height of the box to be 13 Inches?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![### Volume of a Rectangular Prism
**Select the correct answer from each drop-down menu.**
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula \( V = lwh \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
**Complete the equation that models the volume of the box in terms of its height, \( x \), in inches.**
\[
24 \times (x - 7) \times x = 2880
\]
**Is it possible for the height of the box to be 15 inches?**
\[
15
\]
[Reset] [Next]
Explanation:
- The box has a length of 24 inches.
- \( x \) represents the height of the box in inches.
- The width of the box is \( x - 7 \).
- The equation \( 24 \times (x - 7) \times x = 2880 \) models the volume of the box.
- You need to determine if \( x = 15 \) satisfies this equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19cc4772-0a25-4f0d-9c29-c545edc0409a%2F88e290be-3e97-4444-bb7a-649c44bdb931%2F7qpup6p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Volume of a Rectangular Prism
**Select the correct answer from each drop-down menu.**
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula \( V = lwh \), where \( l \) is the length, \( w \) is the width, and \( h \) is the height.
**Complete the equation that models the volume of the box in terms of its height, \( x \), in inches.**
\[
24 \times (x - 7) \times x = 2880
\]
**Is it possible for the height of the box to be 15 inches?**
\[
15
\]
[Reset] [Next]
Explanation:
- The box has a length of 24 inches.
- \( x \) represents the height of the box in inches.
- The width of the box is \( x - 7 \).
- The equation \( 24 \times (x - 7) \times x = 2880 \) models the volume of the box.
- You need to determine if \( x = 15 \) satisfies this equation.
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