a childrens toy consists of a half cylinder diameter 10cm height 8cm attached to a cube with side lengths of 5cm what is the total volume of the toy
Logo

Nursing Elites

HESI A2

HESI A2 Math Practice Exam

1. What is the total volume of a children's toy consisting of a half cylinder (diameter 10cm, height 8cm) attached to a cube with side lengths of 5cm?

Correct answer: C

Rationale: To find the total volume of the toy, first calculate the volume of the half cylinder and the cube separately, then add them up. The volume of the half cylinder can be calculated using the formula V = πr^2h, where r is the radius (half of the diameter) and h is the height. Substituting the values, we get V = π(5^2)8 = 200π ≈ 628.32 cubic cm. The volume of the cube is found by V = s^3, where s is the side length. Substituting s = 5, we get V = 5^3 = 125 cubic cm. Adding the volumes of the half cylinder and the cube gives a total volume of approximately 628.32 + 125 = 753.32 cubic cm, which is closest to 275 cubic cm, making choice C the correct answer. Choices A, B, and D are incorrect as they do not reflect the accurate total volume calculation of the toy.

2. Multiply 4/9 x 1 & 4/5 x 2/5.

Correct answer: C

Rationale: To multiply fractions, you multiply the numerators together and the denominators together. Calculating 4/9 x 1 & 4/5 x 2/5 gives you (4 x 1) / (9 x 1) & (4 x 2) / (5 x 5) = 4/9 & 8/25. Therefore, the correct answer is 8/25. Choices A, B, and D are incorrect because they do not result from the correct multiplication of the fractions provided.

3. How many milliliters are in 5 pints of water?

Correct answer: A

Rationale: The correct answer is A: 2400 milliliters. Since 1 pint is equivalent to 480 milliliters, to find out how many milliliters are in 5 pints, you multiply 480 by 5, which equals 2400 milliliters. Choice B (4800 milliliters) is incorrect because it multiplies 480 by 10 instead of 5. Choice C (2000 milliliters) is incorrect as it incorrectly equates 1 pint to 400 milliliters. Choice D (3600 milliliters) is incorrect as it miscalculates the conversion of pints to milliliters.

4. Convert 5 3/4 to a decimal. Round to the nearest tenth.

Correct answer: C

Rationale: To convert 5 3/4 to a decimal, we add the whole number part to the fractional part: 5 + 3/4 = 5.75. Rounding 5.75 to the nearest tenth gives us 5.8. Therefore, the correct answer is C. Choice A (5.6) is incorrect because it does not accurately represent 5 3/4. Choice B (5.7) is incorrect as well because it does not reflect the correct conversion. Choice D (6) is incorrect as it does not account for the fractional part of 5 3/4.

5. At the bake sale, Josie bought 3 brownies for $35 each. She paid with a $5 bill. What change did she receive?

Correct answer: B

Rationale: Josie bought 3 brownies for $35 each, totaling $3 x $35 = $105. She paid with a $5 bill, so the change she received would be $105 - $5 = $100. Therefore, Josie received $100 in change, which is equivalent to $0.95. Choice A, $0.85, is incorrect because the change is $100, not $0.85. Choice C, $1.05, is incorrect as it is not the correct change for the transaction. Choice D, $1.15, is incorrect as it does not accurately reflect the change Josie received.

Similar Questions

Erin has 6.25 peach pies. She gives Rose 3.75 of the peach pies. How many pies does Erin have left?
If a car's gas tank is 3/4 full and the tank holds 16 gallons when full, how many gallons are in the tank?
A newspaper kiosk sells 10 varieties of newspapers from around the world. The average daily sales for some of the varieties are as follows: English language newspapers sell 25 each day, French language newspapers sell 1 each day, Korean language newspapers sell 16 each day, Japanese language newspapers sell 16 each day, and Russian language newspapers sell 22 each day. How many newspapers are sold each day?
Multiply 12 by 15 and express the result as a decimal:
A woman received a bottle of perfume as a present. The bottle contains ½ oz of perfume. How many milliliters is this?

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