an ancient egyptian pyramid has a square base with side lengths of 20 meters and a remaining height after erosion of 10 meters its original height was
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HESI A2

HESI A2 Math Portion

1. An ancient Egyptian pyramid has a square base with side lengths of 20 meters and a remaining height (after erosion) of 10 meters. Its original height was 30 meters. What was the volume of the pyramid in its original state?

Correct answer: A

Rationale: To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height. In this case, the base area is the square of side length 20 meters, which is 20 * 20 = 400 square meters. The original height of the pyramid is 30 meters. Therefore, the volume of the pyramid in its original state is (1/3) * 400 * 30 = 12000 cubic meters. Choice A is correct. Choices B, C, and D are incorrect as they do not correctly calculate the volume using the original height and base area of the pyramid.

2. How many kilograms are in 4,000 grams?

Correct answer: A

Rationale: To convert grams to kilograms, divide by 1,000 because there are 1,000 grams in a kilogram. Therefore, 4,000 grams รท 1,000 = 4 kilograms. Choice A is correct as it represents the correct conversion. Choice B, 5 kilograms, is incorrect because it is not the result of dividing 4,000 grams by 1,000. Choice C, 1 kilogram, is incorrect because 4,000 grams is more than 1 kilogram. Choice D, 2 kilograms, is incorrect as it is not the correct conversion from grams to kilograms.

3. Subtract 2 5\8 - 7\8 and reduce.

Correct answer: A

Rationale: Subtract the fractions first: 2 5\8 - 7\8 = 1 & 5\8.

4. How many chickens are needed to produce 24 eggs in 24 hours if it takes 2 chickens to produce 6 eggs in 24 hours?

Correct answer: A

Rationale: To produce 24 eggs in 24 hours, 4 times the number of chickens needed to produce 6 eggs is required. Since it takes 2 chickens to produce 6 eggs, 8 chickens are needed to produce 24 eggs in the same time frame. Choice B, 12 chickens, is incorrect because it doesn't consider the proportionality between chickens and eggs. Choice C, 18 chickens, is incorrect as it overestimates the number of chickens needed. Choice D, 6 chickens, is incorrect as it doesn't account for the increased number of eggs required.

5. A car travels 60 miles per hour for 2.5 hours. How far does the car travel?

Correct answer: A

Rationale: To find the total distance traveled, multiply the speed of the car (60 miles per hour) by the time it traveled (2.5 hours): 60 miles/hour * 2.5 hours = 150 miles. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not correctly calculate the total distance traveled by the car.

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