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

Question

Angie Glover

Mathematics

12 August, 21:18

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

+5

Answers (1)

Know the Answer?

Jillian Wiggins · Answer 1

A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,

2880 = 24 (x) (x - 7)

Simplifying,

2880 = 24x² - 168x

B. The value of x from the equation is 15. Thus, the answer is YES.