Firefighter Practice Exam

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An industrial alarm control panel has a square base and a volume of 16 cubic feet with a height of 16 inches. What is the length of the base?

3.464 feet
4.125 feet
4.65 feet
5.14 feet

The correct answer is: 3.464 feet

To determine the length of the base of the industrial alarm control panel, we start with the information provided: the panel has a volume of 16 cubic feet and a height of 16 inches. First, we need to convert the height from inches to feet. Since there are 12 inches in a foot, 16 inches is equivalent to: 16 inches ÷ 12 inches/foot = 1.3333 feet (or 1.33 feet, for practical purposes). Next, we know that the volume of a rectangular prism can be calculated using the formula: Volume = Base Area × Height. Given that the base is square, we can express the base area as the length of one side squared. Let's call the length of one side of the base "x." Therefore, the base area can be expressed as: Base Area = x². Substituting this into the volume formula gives us: 16 cubic feet = x² × 1.3333 feet. To isolate x², we divide both sides of the equation by 1.3333 feet: x² = 16 cubic feet ÷ 1.3333 feet. Calculating this gives us: x² = 12 cubic feet. Now, to