Question

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

Answer 1

Complete the equation that models the volume of the box in terms of its height, x, in inches.

24 x^2 - 168 x = 2,880

Is it possible for the height of the box to be 15 inches? Yes is the answer

Answer 2

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.

Explanation: