Question 1:

The maximum capacity of a container is 15 liters. The maximum capacity of a smaller container is 750 milliliters. How many smaller containers are needed to fill up the larger one?

Question 2:

A pot is 22 cm long, 4 cm wide and 25 cm tall. Inside the pot is a box that is 11 cm long, 7 cm wide and 10 cm tall. How much space is left in the pot?

Question 3:

In a theater, there were 16 screens, but w screens were closed. Write the expression for the number of screens that were open.

Question 4:

Janet sent out invitations to 8 friends for her birthday party. n friends replied and she is waiting for the other 1 friends to reply. Find n.

Question 5:

Melissa has worked as a sales staff member in a book store for 10 months. She earns her basic salary of $250 per month. In addition, she earns $1 for each book she sells. Last month, she sold y books. Write the expression for her total salary last month.

Question 6:

A transport has n cabins and can take 782 passengers. Each cabin can take up to 97 passengers. Find n.

Question 7:

A box is 25 m wide, 170 m long and 30 m tall. What is the volume of the box?

Question 8:

A suitcase is 9 inches wide, 12 inches long and 1.5 inch thick. What is the volume of clothing the suitcase can hold?

Question 9:

At a high school softball league, each team has w players. There are 30 teams in the league. Write the expression of the total number of players at the league.

Question 10:

Alice had 10 markers in her coloring book, but she used r markers. Write the expression for the number of markers in her coloring book now.

Question 11:

A lecture hall has 76 chairs. After z tickets are purchased for the hall, 13 chairs are left. Find z.

Question 12:

Randy bought 7 packs of balloons for his friend's birthday. Each pack of balloons comes with x balloons. There are 42 balloons in total. Find x.

Question 13:

A bin is 20 m wide, 136 m long and 24 m tall. What is the volume of the bin?

Question 14:

A bag is 40 cm long, 9 cm wide and 27 cm tall. Inside the bag is a box that is 19 cm long, 4 cm wide and 18 cm tall. How much space is left in the bag?

Question 15:

To allure customers, the restaurant offers discounts. One-way ticket costs a dollars and a round-trip ticket cost $15, which grants patrons a discount of $2. Find a.

Question 16:

A tote bag is 26 cm long, 16 cm wide and 3 cm thick. What is the volume of the tote bag?

Question 17:

In an apartment, there is a safe in the bedroom that is 32 cm wide, 43 cm deep and 21 cm tall. Next to the safe, there's a storage with electronic lock. The storage is 23 cm wide, 19 cm deep and 37 cm tall. What is the total volume of space for apartment inhabitants to put their items?

Question 18:

John dug soil for 15 rectangular planting pits. Each planting pit is 2 inch long, 4 inch wide and 6 inch deep. What is the volume of the soil removed from each planting pit?

Question 19:

Robert used his 2 year-warranty cards for repairs to the 6 defective laptops from his order of 28 laptops. The other n laptops are working properly. Solve for n.

Question 20:

A rectangular pitcher is 9 inches wide, 13 inches long and 19 inches tall. If water is filled up to 8 inches, how much more water can be put in the pitcher?

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Answer Keys

Question 1: 20

Question 2: 1430 cm³

Question 3: 16 - w

Question 4: 7

Question 5: y+250

Question 6: 9

Question 7: 127500 cubic m

Question 8: 162 cubic inches

Question 9: 30w

Question 10: 10 - r

Question 11: 63

Question 12: 6

Question 13: 65280 cubic m

Question 14: 8352 cm³

Question 15: 9

Question 16: 1248 cm³

Question 17: 45,065

Question 18: 48

Question 19: 22

Question 20: 1281 cubic inches

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Solutions

Question 1
Since there are 1000 milliliters in 1 liter, the maximum capacity of the larger container is 15 x 1000 = 15,000 milliliters. To fill up the larger container with the smaller containers, we need 15,000 / 750 = 20 smaller containers.

Question 2
To calculate the space left in the pot, we need to find the volume of the pot and subtract the volume of the box inside. The volume of the pot is 22 cm * 4 cm * 25 cm = 2200 cm³. The volume of the box inside is 11 cm * 7 cm * 10 cm = 770 cm³. Therefore, the space left in the pot is 2200 cm³ - 770 cm³ = 1430 cm³.

Question 3
Number of screens that were open = 16 - w

Question 4
n = 8 - 1 = 7

Question 5
y*1+250

Question 6
n = 9

Question 7
The volume of the box can be calculated by multiplying its length, width, and height. Thus, the volume is 25 m x 170 m x 30 m = 127500 cubic m.

Question 8
To find the volume of the suitcase, we need to multiply its length, width, and thickness. Given that the width is 9 inches, the length is 12 inches, and the thickness is 1.5 inches, we can calculate the volume using the formula: Volume = length * width * thickness. Substituting the values, we get: Volume = 12 inches * 9 inches * 1.5 inches = 162 cubic inches. Therefore, the volume of clothing the suitcase can hold is 162 cubic inches.

Question 9
Multiplying the number of teams and the number of players per team will give the total number of players at the league. Hence, the expression of the total number of players at the league is: 30w.

Question 10
Number of markers in her coloring book now = 10 - r.

Question 11
Step 1: Start with the total number of chairs in the hall, which is 76. Step 2: Subtract the number of chairs that are left, which is 13, from the total number of chairs to find the number of tickets purchased, which is 76 - 13 = 63. Therefore, z = 63.

Question 12
1. Let's represent the number of balloons in each pack by x. 2. Randy bought 7 packs of balloons, so the total number of balloons he has is 7x. 3. We know that there are 42 balloons in total, so we can set up an equation: 7x = 42 4. To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 7: x = 6. 5. Therefore, each pack of balloons comes with 6 balloons.

Question 13
The volume of the bin can be calculated by multiplying its length, width, and height. Thus, the volume is 20 m x 136 m x 24 m = 65280 cubic m.

Question 14
To find the volume of the box, we multiply its length, width, and height: 19 cm × 4 cm × 18 cm = 1368 cm³. To find the volume of the bag, we multiply its length, width, and height: 40 cm × 9 cm × 27 cm = 9720 cm³. To find the space left in the bag, we subtract the volume of the box from the volume of the bag: 9720 cm³ − 1368 cm³ = 8352 cm³. Therefore, there is 8352 cm³ of space left in the bag.

Question 15
a = 9

Question 16
To find the volume of a rectangular prism, multiply its length, width, and height. In this case, the length is 26 cm, the width is 16 cm, and the height is 3 cm. Therefore, the volume of the tote bag can be calculated as: volume = length × width × height = 26 cm × 16 cm × 3 cm = 1248 cm³.

Question 17
To find the total volume of space for apartment inhabitants to put their items, we need to find the combined volume of the safe and the storage. Volume = length x width x height. Therefore, the volume of the safe is 32 x 43 x 21 = 28,896 cubic cm, and the volume of the storage is 23 x 19 x 37 = 16,169 cubic cm. The total volume of space for apartment inhabitants to put their items is the sum of the volumes of the safe and the storage, which is 28,896 + 16,169 = 45,065 cubic cm.

Question 18
To find the volume of soil removed from each planting pit, we need to multiply the length, width, and depth of the pit. The length of the pit is 2 inches, the width is 4 inches, and the depth is 6 inches. Therefore, the volume of soil removed from each pit is calculated as follows: Volume = length * width * depth = 2 * 4 * 6 = 48 cubic inches.

Question 19
To solve for n, we need to subtract the number of defective laptops from the total number of laptops. Therefore, n = 28 - 6 = 22. So, there are 22 laptops that are working properly.

Question 20
To find the amount of water that can be put in the pitcher, we need to calculate the volume of the pitcher and subtract the volume already occupied by water. The volume of a rectangular prism (pitcher) can be calculated using the formula V = length × width × height. Substituting the given values, we have V = 13 inches × 9 inches × 19 inches = 2217 cubic inches. The volume of the water already filled in the pitcher is 8 inches × 9 inches × 13 inches = 936 cubic inches. To find the remaining volume that can be put in the pitcher, we subtract the volume of water from the total volume of the pitcher: 2217 cubic inches - 936 cubic inches = 1281 cubic inches. Therefore, 1281 cubic inches of water can still be put in the pitcher.