V = lwh/3 (solve for h)

Mathematics

1 answer:

victus00 [196]3 years ago

4 0

Answer:

$\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle V = \frac{lwh}{3}$

Step 2: Solve for h

[Multiplication Property of Equality] Multiply 3 on both sides: $\displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh$
[Division Property of Equality] Divide lw on both sides: $\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

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Step-by-step explanation:

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Something like choice C is not a solution because
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If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.