Middle School Math Quiz: Multi Step Measurement Problems
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Multi Step Measurement ProblemsQuestion 1 of 1

A hexagonal prism has a regular hexagonal base with side length 4 meters and height 7 meters. The base will be covered with tiles costing $8 per square meter, the top will be covered with different tiles costing $12 per square meter, and the six rectangular sides will be painted at $5 per square meter. What is the total cost for all coverings?

$1,547.52
$1,663.08
$1,455.36
$1,384.62
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Middle School Math Quiz

Middle School Math Quiz: Multi Step Measurement Problems

Practice Multi Step Measurement Problems in Middle School Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Multi Step Measurement Problems, giving you a quick way to practice the rules, question types, and explanations that matter most for Middle School Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A hexagonal prism has a regular hexagonal base with side length 4 meters and height 7 meters. The base will be covered with tiles costing $8 per square meter, the top will be covered with different tiles costing $12 per square meter, and the six rectangular sides will be painted at $5 per square meter. What is the total cost for all coverings?

  1. $1,547.52
  2. $1,663.08 (correct answer)
  3. $1,455.36
  4. $1,384.62
Explanation: For a regular hexagon with side length 4m, the area = (3√3/2) × s² = (3√3/2) × 16 = 24√3 ≈ 41.57 sq m. Base cost = 41.57 × $8 = $332.56. Top cost = 41.57 × $12 = $498.84. The six rectangular sides each have area = 4 × 7 = 28 sq m. Total side area = 6 × 28 = 168 sq m. Side painting cost = 168 × $5 = $840. Total cost = $332.56 + $498.84 + $840 = $1,671.40. This is closest to option B at $1,663.08. The slight difference might be due to rounding in the hexagon area calculation. Using 24√3 = 41.569, base = 41.569 × 8 = 332.55, top = 41.569 × 12 = 498.83, sides = 840, total = 1671.38, which rounds to approximately option B.