Nokea
Which of the following is the total number of whole boxes that measure 2ft × 2ft × 2ft that can be stored in a room that measures 9ft × 9ft × 9ft, if the sizes of the boxes cannot be altered?
- A. 18
- B. 64
- C. 125
- D. 92
Correct Answer: B
Rationale: The volume of the room is 9ft × 9ft × 9ft = 729 cubic feet. Each box is 2ft × 2ft × 2ft = 8 cubic feet. 729 / 8 = 91 boxes (rounded down), meaning 64 whole boxes can fit.
You may also like to solve these questions
A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
- A. 6 1/2 cups
- B. 10 1/2 cups
- C. 5 1/2 cups
- D. 4 1/2 cups
Correct Answer: A
Rationale: To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
What is the length of the unknown leg of a right triangle that has one leg measuring 8 feet and a hypotenuse of 12 feet? (Round to the nearest tenth)
- A. 40 feet
- B. 4 feet
- C. 14.4 feet
- D. 8.9 feet
Correct Answer: D
Rationale: To find the length of the unknown leg of a right triangle, you can use the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse (12 feet) is equal to the sum of the squares of the other two sides. Let x be the length of the unknown leg. So, 12^2 = 8^2 + x^2. Solving for x gives x = √(12^2 - 8^2) = √(144 - 64) = √80 ≈ 8.9 feet. Therefore, the length of the unknown leg is approximately 8.9 feet.
What is the best estimate, in meters, for the average width of a doorway?
- A. 10
- B. 1
- C. 3
- D. 0.5
Correct Answer: B
Rationale: The average width of a doorway typically ranges from 0.8 to 1.2 meters. Therefore, the best estimate for the average width of a doorway in meters is around 1 meter. Option B, which is 1 meter, is the most accurate estimate among the choices provided. It is important to consider that doorways are commonly designed to accommodate easy access for individuals and items passing through, making the width around 1 meter a standard measurement for doorways in various settings.
What is the median of the following set of data: 5, -3, 10, -2, 0?
- A. 10
- B. 5
- C. -2
Correct Answer: D
Rationale: To find the median, we first need to arrange the data in ascending order: -3, -2, 0, 5, 10. Since the number of values is odd (5 values), the median is the middle value when the data is arranged in order. In this case, the middle value is 0. Therefore, the correct answer is D: 0, which is the median of the given data set.
Elevation above sea level and temperature are negatively correlated variables. Which of the following statements describes the relationship between the variables?
- A. As elevation decreases, temperature decreases
- B. As elevation decreases, temperature remains the same
- C. As elevation increases, temperature increases
- D. As elevation increases, temperature decreases
Correct Answer: D
Rationale: When two variables are negatively correlated, as one variable increases, the other decreases. In this case, as elevation above sea level increases, the temperature decreases. This relationship is often observed due to changes in atmospheric pressure and temperature with altitude. As altitude rises, the air becomes less dense, leading to lower temperatures. Therefore, the correct statement is 'As elevation increases, temperature decreases.' This relationship is crucial in understanding climate patterns, especially in mountainous regions where temperature changes significantly with elevation.