you need to buy cardboard to cover a rectangular box with dimensions 40cm by 30cm by 25cm considering only the exterior surfaces not flaps or openings
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HESI A2

Math HESI A2 Practice Test

1. You need to buy cardboard to cover a rectangular box with dimensions 40cm by 30cm by 25cm. Considering only the exterior surfaces (not flaps or openings), how much cardboard do you need (assume one sheet covers 0.5 sq m)?

Correct answer: C

Rationale: To find the total surface area of the rectangular box, calculate the area of each side and sum them up. The areas of the sides are: 2(40x30) + 2(40x25) + 2(30x25) = 2400 + 2000 + 1500 = 5900 sq cm. Convert this to square meters by dividing by 10,000: 5900/10,000 = 0.59 sq m. Since one sheet covers 0.5 sq m, you would need 2 sheets to cover the box fully, which equals 1 sq m. Therefore, the correct answer is 1.2 sq m. Choice A (0.3 sq m) is too small for the dimensions provided. Choice B (0.6 sq m) is incorrect as it doesn't match the calculated surface area. Choice D (1.8 sq m) is too high for the surface area of the box.

2. A family uses 12 gallons of water every day. How many gallons do they use in a non-leap year?

Correct answer: B

Rationale: To determine the total gallons the family uses in a non-leap year, you have to multiply the daily consumption by the number of days in a non-leap year. So, 12 gallons/day x 365 days = 4,380 gallons used per year. Therefore, the correct answer is B. Choice A is incorrect as it provides an inaccurate total by not considering the total days in a year. Choice C is incorrect as it offers a lower value due to not multiplying the daily usage by the total days in a year. Choice D is incorrect as it doesn't accurately calculate the total gallons used in a non-leap year.

3. Subtract 6 1/2 - 2 2/3.

Correct answer: A

Rationale: To subtract mixed numbers, find a common denominator. Converting 6 1/2 to 6 3/6 and 2 2/3 to 2 4/6, the calculation becomes 6 3/6 - 2 4/6 = 4 1/6. Therefore, the correct answer is A. Choice B (3 1/3) is incorrect as the correct result is not an improper fraction. Choice C (3 5/6) is incorrect as it does not represent the result of the subtraction. Choice D (4 1/3) is incorrect as it does not match the correct calculation.

4. How many centimeters are there in 1 foot?

Correct answer: D

Rationale: To convert feet to centimeters, you need to consider that there are 2.54 centimeters in an inch. Since a foot is equal to 12 inches, you multiply 12 inches by 2.54 to get 30.48 centimeters. Therefore, there are 30.48 centimeters in 1 foot. Choice A (4.72 centimeters) is incorrect as it does not use the correct conversion factor. Choice B (10 centimeters) is incorrect as it is not the accurate conversion for 1 foot. Choice C (25.4 centimeters) is incorrect as it corresponds to 10 inches, not 1 foot.

5. What is the result of 32 divided by 8/9?

Correct answer: C

Rationale: To divide by a fraction, we can multiply by its reciprocal. Therefore, dividing 32 by 8/9 is the same as multiplying 32 by 9/8, which equals 36. The correct answer is C. Choice A, 4 & 1/9, is incorrect because the result is a whole number. Choice B, 4, is incorrect as it does not consider the fraction. Choice D, 28 & 4/9, is incorrect as it is not the result of dividing 32 by 8/9.

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