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Similar solids — volumes of a Congruence & similarity
V₁/V₂ = k³
Where: V₁ = Similar solids — volumes, V₂ = V₂, k = scale factor
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: V_2 = 7, k = 5
Find: V_1 (Similar solids — volumes)
- Formula: V₁/V₂ = k³
- Rearranged for V₁: V₁ = V₂·k³
- Substitute the values: V₁ = 5³·7
- Result: V₁ = 875
Answer: V_1 = 875
Calculator
How to calculate Similar solids — volumes of a Congruence & similarity
- Write down the formula: V₁/V₂ = k³.
- Note the known values (V₂, k).
- Substitute them and simplify to find V_1.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Similar solids — volumes of a Congruence & similarity?
The formula is V₁/V₂ = k³, where V₁ = Similar solids — volumes, V₂ = V₂, k = scale factor.
What is Similar solids — volumes of a Congruence & similarity when V_2 = 7, k = 5?
V_1 = 875. Substitute the values into V₁/V₂ = k³ and simplify.