a statue is 8 feet tall. the display case for a model of the statue is 18 inches tall. which scale allows for the tallest model of the statue that will fit in the display case?
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To find the scale that allows for the tallest model of the statue to fit in the display case, we can set up a proportion based on the heights of the actual statue and the display case.
Let's convert the measurements to the same units to make it easier to work with. Since the statue is 8 feet tall, we'll convert it to inches. Since 1 foot is equal to 12 inches, the statue is 8 x 12 = 96 inches tall.
Now, let's set up the proportion:
(actual statue height) / (display case height) = scale
(96 inches) / (18 inches) = scale
Simplifying the proportion:
96 / 18 = scale
5.33 = scale
Therefore, the scale that allows for the tallest model of the statue to fit in the display case is approximately 5.33.
To determine the scale that allows for the tallest model of the statue that will fit in the display case, we can set up a proportion using the heights of the actual statue and the display case.
Let's convert the height of the statue and the display case to the same unit for easier comparison. Since the height of the statue is given in feet and the display case is given in inches, let's convert the height of the statue to inches as well.
1 foot = 12 inches
Height of the statue = 8 feet * 12 inches/foot = 96 inches
Height of the display case = 18 inches
Now, let's set up the proportion using the height of the statue (96 inches) and the height of the display case (18 inches). We'll use "x" to represent the scale:
96 inches (actual height of the statue) / 18 inches (height of the display case) = x (scale)
Let's solve for x:
x = 96 inches / 18 inches
x = 5.33
Therefore, the scale that allows for the tallest model of the statue that will fit in the display case is 1:5.33.
I assume you want a little space between the top of the box and the model. If not:
1.5/8 = ?