an egyptian model pyramid has a square base side length of 10cm and a height of 8cm what is its volume
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HESI A2

HESI A2 Math Practice Test 2022

1. What is the volume of an Egyptian model pyramid with a square base side length of 10cm and a height of 8cm?

Correct answer: D

Rationale: To find the volume of a pyramid, we use the formula: Volume = (1/3) * base area * height. First, calculate the base area by squaring the base side length: 10cm * 10cm = 100 sq cm. Substitute the values into the formula: Volume = (1/3) * 100 sq cm * 8cm = 80 cu cm. Therefore, the correct answer is 160 cu cm. Choices A, B, and C are incorrect because they do not correctly calculate the volume of the pyramid based on the given dimensions.

2. Solve for x: 3x + 9 = 0.

Correct answer: B

Rationale: To solve the equation 3x + 9 = 0, first, isolate the variable x. Subtract 9 from both sides to get 3x = -9. Then, divide by 3 to solve for x, giving x = -3. Therefore, the correct answer is B. Choice A, x = -3, is the correct solution. Choices C and D are incorrect as they do not satisfy the equation when substituted back into it.

3. 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.

4. How many kilograms are in 2000 grams?

Correct answer: B

Rationale: To convert grams to kilograms, you need to divide by 1000 since there are 1000 grams in a kilogram. Therefore, 2000 grams is equal to 2 kilograms (2000 grams ÷ 1000 = 2 kilograms). The correct answer is B: 2 kilograms. Choice A, 20 kilograms, is incorrect because multiplying by 10 (not dividing by 1000) would give that result. Choice C, 5 kilograms, and Choice D, 10 kilograms, are also incorrect as they do not correctly convert grams to kilograms.

5. How many pounds are there in 8 kilograms?

Correct answer: B

Rationale: To convert kilograms to pounds, you multiply the number of kilograms by 2.20462. Therefore, 8 kilograms is equal to 8 x 2.20462 = 17.63696 pounds, which can be rounded to 16 pounds. Choice A is incorrect as it is not the correct conversion. Choice C is close to the correct answer but slightly higher. Choice D is incorrect as it is higher than the correct conversion.

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