a childs toy block is a cube with side lengths of 5cm what is its total surface area
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HESI A2

HESI A2 Math Portion

1. A child's toy block is a cube with side lengths of 5cm. What is its total surface area?

Correct answer: D

Rationale: The surface area of a cube is calculated using the formula: 6 * (side length)^2. Substituting the side length of 5cm into the formula, we get: 6 * (5cm)^2 = 6 * 25cm^2 = 150 sq cm. Therefore, the total surface area of the toy block is 150 sq cm. Choices A (25 sq cm), B (50 sq cm), and C (125 sq cm) are incorrect as they do not correctly calculate the total surface area of the cube.

2. If Latoya spends 15 minutes every day practicing her flute, how much time does she spend practicing over a period of two weeks?

Correct answer: C

Rationale: Latoya practices her flute for 15 minutes every day. In two weeks (14 days), the total time spent practicing can be calculated as 15 minutes/day * 14 days = 210 minutes. To convert 210 minutes to hours, divide by 60 (since there are 60 minutes in an hour): 210 / 60 = 3 hours 30 minutes. Therefore, Latoya spends 3 hours 30 minutes practicing her flute over a period of two weeks. Choices A, B, and D are incorrect because they do not accurately calculate the total time Latoya spends practicing over two weeks.

3. A man is reading. He reads two chapters a day. How long will it take if there are 6 pages per chapter and 798 pages total?

Correct answer: A

Rationale: First, calculate how many pages the man reads per day. Since he reads two chapters a day and each chapter has 6 pages: 2 chapters/day × 6 pages/chapter = 12 pages/day Now, divide the total number of pages by the number of pages he reads per day: 798 pages ÷ 12 pages/day = 66 1/2 days Thus, it will take him 66 & 1/2 days to finish the book. Therefore, the correct answer is A. 66 & 1/2. Choices B, C, and D are incorrect as they do not correspond to the correct calculation based on the given information.

4. A nurse administers 150mg of medication every 4 hours. How many milligrams will the patient receive in 24 hours?

Correct answer: D

Rationale: Rationale: - The patient receives 150mg of medication every 4 hours. - To calculate how many milligrams the patient will receive in 24 hours, we need to determine how many times the medication is administered in 24 hours. - Since the medication is administered every 4 hours, there are 24 hours in a day, so the medication will be administered 24 / 4 = 6 times in 24 hours. - Therefore, the total amount of medication the patient will receive in 24 hours is 150mg x 6 = 900mg.

5. What number is represented by the Roman Numerals XLIV?

Correct answer: C

Rationale: In Roman numerals, XL represents 40, and IV represents 4. When XL (40) is combined with IV (4), it forms XLIV, which corresponds to the number 44. Therefore, the correct answer is 44. Choice A (34) is incorrect as it does not consider the value of XL and IV. Choice B (54) is incorrect as it miscalculates the value of XL. Choice D (24) is incorrect as it does not account for the value of XL.

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