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Sagot :
Answer:
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.
Step-by-step explanation:
a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
What is volume?
Volume is the three-dimensional space bounded by a boundary or inhabited by an item.
The given data in the problem is;
L is the length of the box= 24-inch
V is the volume = 2,880 cubic inches.W
W is the width of the box
h is the height
Let the side of the box is x then volume V is found as;
V=LWh
2880 = 24(x)(x - 7)
2880 = 24x² - 168x
Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
The value of x obtained from the equation is 15.
Hence yes, it is possible for the height of the box to be 15 inches
To learn more about the volume refer to the link;
https://brainly.com/question/1578538
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