a decorative box has a rectangular base 20cm by 15cm and a hemispherical top with the same diameter as the base what is the total surface area of the
Logo

Nursing Elites

HESI A2

HESI A2 Math Practice

1. A decorative box has a rectangular base (20cm by 15cm) and a hemispherical top with the same diameter as the base. What is the total surface area of the box (excluding the base)?

Correct answer: C

Rationale: To find the total surface area of the box excluding the base, calculate the lateral surface area of the rectangular base and the surface area of the hemisphere. The lateral surface area of the rectangular base is 2(20cm x 15cm) = 600 sq cm. The surface area of the hemisphere is 2πr^2, where r is half the diameter of the base, so r = 10cm. Thus, the surface area of the hemisphere is 2π(10cm)^2 = 200π sq cm ≈ 628.32 sq cm. Add the lateral surface area of the base and the surface area of the hemisphere: 600 sq cm + 628.32 sq cm ≈ 1228.32 sq cm. Therefore, the total surface area of the box is approximately 1228.32 sq cm, which is closest to 1325 sq cm (Choice C). Choices A, B, and D are incorrect as they do not represent the accurate calculation of the total surface area of the box.

2. What is the result of adding 4.934, 7.1, and 9.08?

Correct answer: A

Rationale: To find the sum of 4.934, 7.1, and 9.08, we add them together: 4.934 + 7.1 + 9.08 = 21.114. Therefore, the correct answer is A, 21.114. Choice B, 21.042, is incorrect as it does not represent the accurate sum of the numbers provided. Choice C, 20.214, is incorrect as it does not account for the correct addition of the given numbers. Choice D, 59.13, is incorrect as it is not the sum of the numbers 4.934, 7.1, and 9.08.

3. How many gallons are in 16 quarts?

Correct answer: C

Rationale: To convert quarts to gallons, remember that 1 gallon equals 4 quarts. Therefore, 16 quarts ÷ 4 quarts/gallon = 4 gallons. The correct answer is 4 gallons because each gallon contains 4 quarts. Choice A (1 gallon) is incorrect because 1 gallon is equal to 4 quarts, not 16 quarts. Choice B (8 gallons) is incorrect as it miscalculates the conversion. Choice D (4.5 gallons) is incorrect because it doesn't align with the conversion rate of 4 quarts per gallon.

4. Convert the following military time to regular time: 15:17:52.

Correct answer: B

Rationale: To convert military time to regular time, subtract 12 from the hours if it is 13 or greater. In this case, 15:17:52 becomes 3:17:52 PM. Choice A (2:17 PM) is incorrect as it doesn't adjust for the 12-hour conversion. Choice C (5:17 AM) and Choice D (9:17 AM) are incorrect as they don't reflect the correct conversion from military time to regular time.

5. The recipe called for 3 1/2 pints of sour cream. How many cups of sour cream would that be equivalent to?

Correct answer: B

Rationale: To convert 3 1/2 pints of sour cream to cups, knowing that 1 pint equals 2 cups, we multiply 3.5 by 2, resulting in 7 cups. Therefore, the equivalent amount of sour cream in cups is 7 cups. Choice A is incorrect as it does not consider the correct conversion factor. Choice C is incorrect as it does not account for the accurate conversion from pints to cups. Choice D is incorrect as it underestimates the conversion by not multiplying the pints by the correct factor.

Similar Questions

Add 7/8 + 9/10 + 6/5. Express the result as a mixed number.
What is the sum of the digits of the number 72?
A table top has dimensions of 75cm by 50cm. What is its perimeter if opposite sides are equal?
A patient's oxygen flow rate is set at 4 liters per minute. How many cubic centimeters of oxygen are delivered per minute?
A patient weighs 180 pounds. What is their weight in kilograms (1kg = 2.2lbs)?

Access More Features

HESI A2 Basic
$49/ 30 days

  • 3,000 Questions with answers
  • 30 days access

HESI A2 Premium
$99/ 90 days

  • Actual HESI A2 Questions
  • 3,000 questions with answers
  • 90 days access

Other Courses