Final answer:
To find the width of the rectangular box, we can use the formula: Width = Volume / (length * height). Given the measurements of the length = 14cm and height = 10cm, we can substitute them into the formula and solve for the width. The calculated width is 1 cm. So, none of the given options are correct.
Step-by-step explanation:
To express the width of the rectangular box in centimeters in fractional form, we can use the given measurements.
We know that the length is 14 centimeters and the height is 10 centimeters.
To find the width, we can use the formula:
Width = Volume / (length * height)
Since the box is rectangular, the volume is equal to the length times the height times the width. Substituting the given values, we get:
Volume = 14 * 10 * width
Now, let's solve for the width:
width = Volume / (length * height) = (14 * 10 * width) / (14 * 10)
Simplifying the equation:
width = width / 1
Since width divided by 1 is equal to width, the width of the box is equal to 1. Therefore, the width of the box is 1 cm.
None of the given options are correct.
Question: Consider a rectangular box with dimensions given as follows: the length is 14 centimeters, the height is 10 centimeters, and the width is unknown. Express the width of the box in centimeters in fractional form.
A. (7/5) cm
B. (5/7) cm
C. (4/3) cm
D. (3/4) cm