The volume of two solids are 135 in and 625 in. Find the similarity ratio.
Hope you can help!
the ratio of the volumes is the similarity ratio cubed.
so, you want
∛(135:625) = ∛(5*27:5*125) = 3:5
To find the similarity ratio between two solids, we need to compare their volumes. Let's denote the volume of the first solid as V1 and the volume of the second solid as V2.
Given that V1 = 135 in and V2 = 625 in, we can set up a proportion to find the similarity ratio.
The proportion can be written as:
V1 / V2 = x / 1,
where x represents the similarity ratio.
Now, substitute the given values into the equation:
135 / 625 = x / 1.
To solve for x, cross-multiply:
135 * 1 = 625 * x,
135 = 625x.
Divide both sides of the equation by 625 to isolate x:
135 / 625 = x.
Now, calculate the quotient:
x ≈ 0.216.
Thus, the similarity ratio between the two solids is approximately 0.216.