Two similar solids have a scale factor of 3:5. If the height of solid 1 is 3cm, what is the height of solid 2?
h1/h2 = 3/5
3/h2 = 3/5
h2 = (5/3)*3 = 5cm
To find the height of solid 2, we can use the scale factor between the two solids.
The scale factor between two similar objects can be thought of as the ratio of their corresponding lengths, widths, or heights. In this case, we have the scale factor of 3:5, which means that for every 3 units of height in solid 1, there are 5 units of height in solid 2.
Given that the height of solid 1 is 3cm, we can set up a proportion to find the height of solid 2:
3 / x = 3 / 5
Where x represents the height of solid 2.
To solve for x, we can cross-multiply:
(3 * 5) = (3 * x)
15 = 3x
Next, we divide both sides of the equation by 3 to isolate the variable:
15 / 3 = x
5 = x
Therefore, the height of solid 2 is 5 cm.