Praxis 5003 Practice Question
A right rectangular prism has length 5.0 centimeters, width 7.3 centimeters, and height 9.2 centimeters. What is the surface area in square centimeters, of the prism?
Correct Answer: C
Rationale: To find the surface area of a right rectangular prism, the formula is \(2(lw + lh + wh)\), where \(l\) is length, \(w\) is width, and \(h\) is height.
1. **Calculating the individual areas**:
- \(lw = 5.0 \times 7.3 = 36.5\)
- \(lh = 5.0 \times 9.2 = 46.0\)
- \(wh = 7.3 \times 9.2 = 67.16\)
2. **Adding these areas**:
- Total area = \(36.5 + 46.0 + 67.16 = 149.66\)
3. **Multiplying by 2**:
- Surface area = \(2 \times 149.66 = 299.32\)
**Option C (299.32)** is correct as it reflects the accurate calculation of the surface area.
- **Option A (149.66)** represents the sum of the individual areas, not the surface area.
- **Option B (167.9)** is incorrect as it does not align with any step in the calculation.
- **Option D (335.18)** mistakenly doubles the incorrect total area, leading to an inflated result.
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