a bookshelf has triangular shelves with a base of 40cm and a height of 30cm the depth of the shelf is 25cm what is the volume of each shelf
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HESI A2

Practice HESI A2 Math Test

1. A bookshelf has triangular shelves with a base of 40cm and a height of 30cm. The depth of the shelf is 25cm. What is the volume of each shelf?

Correct answer: B

Rationale: To find the volume of the triangular shelf, first calculate the area of the triangle (1/2 * base * height) which is (1/2 * 40 * 30) = 600 sq cm. Then, multiply this area by the depth of the shelf (600 * 25) = 15000 cu cm. Therefore, the volume of each shelf is 3750 cu cm. Choice A, C, and D are incorrect as they do not correctly calculate the volume based on the dimensions provided.

2. Joe makes $20 an hour and Tim makes $30 an hour. How many more hours than Tim must Joe work to earn the same amount that Tim makes in 4 hours?

Correct answer: B

Rationale: To earn the same amount that Tim makes in 4 hours, Tim earns $30 per hour, totaling $120 in 4 hours. Joe earns $20 per hour, so to match Tim's earnings in 4 hours, Joe must work 2 hours more than Tim. Therefore, Joe needs to work 2 hours more than Tim to earn the same amount that Tim makes in 4 hours. Choices A, C, and D are incorrect as they do not accurately reflect the additional hours Joe needs to work compared to Tim to earn the same amount in 4 hours.

3. Stu purchased a set of 6 cups and 6 plates at a garage sale. The cups were 25 cents each, and the plates were 75 cents each. If Stu paid with a $10 bill, how much change was he owed?

Correct answer: C

Rationale: Stu purchased 6 cups at 25 cents each, totaling $1.50 (6 cups x $0.25 = $1.50). He also bought 6 plates at 75 cents each, totaling $4.50 (6 plates x $0.75 = $4.50). Therefore, the total cost of the cups and plates is $1.50 + $4.50 = $6. Stu paid with a $10 bill, so the change he was owed is $10 - $6 = $4. Stu was owed $4 in change. The correct answer is $5, not $4 as he was owed that amount. Option A, $4, is incorrect as it miscalculates the change amount. Option B, $4.50, is incorrect as it does not consider the correct total cost. Option D, $5.50, is incorrect as it overestimates the change Stu was owed.

4. Bill has 2.5 vacation days left for the rest of the year and 1.25 sick days left. If Bill uses all of his sick days and his vacation days, how many days will he have off work?

Correct answer: D

Rationale: To find the total number of days Bill will have off, add his vacation days and sick days together. Bill has 2.5 vacation days and 1.25 sick days: 2.5 + 1.25 = 3.75 days When rounding to the nearest whole number, 3.75 rounds up to 4. Therefore, Bill will have 4 days off work.

5. A rectangular bandage measures 5cm by 8cm. What is the area covered by the bandage?

Correct answer: D

Rationale: Rationale: To find the area of a rectangle, you multiply the length by the width. In this case, the length of the bandage is 8cm and the width is 5cm. Area = length x width Area = 8cm x 5cm Area = 40cm^2 Therefore, the area covered by the bandage is 40cm^2.

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