you need to paint a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m considering only the interior walls and floor not the top how
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HESI A2

HESI A2 Math Practice Exam

1. How much paint do you need to paint the interior walls and floor of a rectangular swimming pool with dimensions 8m by 5m and a depth of 2m? (Assume one can of paint covers 10 sq m)

Correct answer: C

Rationale: To calculate the total area to be painted, find the area of each wall and the floor, sum them up, and subtract the area of the top surface of the pool. The area to be painted is (2*8 + 2*5 + 8*5) = 16 + 10 + 40 = 66 sq m. Since one can of paint covers 10 sq m, divide the total area (66 sq m) by the coverage area per can to determine the number of cans needed. Therefore, you need 88 sq m of paint, which is equivalent to 9 cans of paint. Choice A, B, and D are incorrect as they do not represent the correct calculation of the total area to be painted.

2. Farmer Juan has 14 acres with an average yield of 17460 eggs per acre. The profit per egg is $1.65. What profit should Farmer Juan expect?

Correct answer: A

Rationale: To calculate Farmer Juan's profit, multiply the number of acres (14) by the yield per acre (17460 eggs) and by the profit per egg ($1.65): 14 acres * 17460 eggs * $1.65 = $403,326. Therefore, Farmer Juan should expect a profit of $403,326. Choice A is correct as it accurately calculates the total profit based on the given information. Choices B, C, and D are incorrect as they do not correctly compute the total profit from the provided data.

3. 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.

4. A newborn weighs 3,459 grams. There are 453.59 grams per pound. What is the infant's weight in pounds and ounces?

Correct answer: A

Rationale: To find the weight in pounds, divide the weight in grams by the conversion factor (453.59 grams per pound). 3,459 grams รท 453.59 = approximately 7 lbs 10 oz. Therefore, choice A (7 lbs 10 oz) is the correct answer. Choice B (10 lbs 7 oz) and Choice C (13 lbs 3 oz) are incorrect as they do not correspond to the correct conversion. Choice D (3 lbs 13 oz) is incorrect as it does not account for the additional pounds derived from dividing 3,459 grams by the conversion factor.

5. Add 2/3 + 4/9.

Correct answer: C

Rationale: To add the fractions, first find a common denominator. The least common denominator between 3 and 9 is 9. Convert 2/3 to 6/9 then add 6/9 + 4/9: = 10/9

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