GED Math Practice Test 3 featuring questions on volume comparison, percentage calculation, and probability with a diagram of Box B.

Let's solve each question step by step from the GED Math Practice Test 3.

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Q1. The dimensions of Box B, shown below, are twice the length of the corresponding dimensions on Box A (not shown).

We are given:
- Box B has dimensions:
- Length = 6
- Width = 4
- Height = 3

So, volume of Box B is:

$$
V_B = 6 \times 4 \times 3 = 72
$$

Now, since Box A has dimensions that are half of Box B (because Box B’s dimensions are *twice* those of Box A), then:

- Dimensions of Box A:
- $ \frac{6}{2} = 3 $
- $ \frac{4}{2} = 2 $
- $ \frac{3}{2} = 1.5 $

Volume of Box A:

$$
V_A = 3 \times 2 \times 1.5 = 9
$$

Now compare volumes:

$$
\frac{V_B}{V_A} = \frac{72}{9} = 8
$$

So, Box B has 8 times the volume of Box A.

✔ Answer: E) The volume of Box B is eight times the volume of Box A.

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Q2. At the end of baseball season, 5% of the children enrolled in a local youth baseball program will be chosen to play in the state tournament. If 12 children will be chosen to play in the tournament, how many children are enrolled in the program?

Let total number of children = $ x $

5% of $ x $ = 12

$$
0.05x = 12
$$

Solve for $ x $:

$$
x = \frac{12}{0.05} = 240
$$

✔ Answer: D) 240

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Q3. A bag contains 12 red, 3 blue, 6 green, and 4 yellow marbles. If a marble is drawn from the bag at random, what is the probability that the marble will be either blue or yellow?

Total number of marbles:

$$
12 + 3 + 6 + 4 = 25
$$

Number of favorable outcomes (blue or yellow):

$$
3 + 4 = 7
$$

Probability:

$$
P(\text{blue or yellow}) = \frac{7}{25}
$$

Convert to percent:

$$
\frac{7}{25} = 0.28 = 28\%
$$

✔ Answer: E) 28%

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✔ Final Answers:

- Q1: E) The volume of Box B is eight times the volume of Box A.
- Q2: D) 240
- Q3: E) 28%

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