### 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.

Here we have to use the concept of quadratic equations

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.

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