Question 1:

A suitcase is 20 cm long, 10 cm wide and 7 cm thick. What is the volume of the suitcase?

Question 2:

In a cabin, there is a safe in the kitchen that is 22 inches wide, 25 inches deep and 38 inches tall. Next to the safe, there's a compartment with magnetic lock. The compartment is 18 inches wide, 45 inches deep and 20 inches tall. What is the total volume of space for cabin guests to keep their possessions?

Question 3:

The capacity of the two glasses in the kitchen is 5/6 liter each. One glass has 7/10 of a liter of milk in it and the other glass has 5/8 of a liter milk in it. How much milk is there altogether?

Question 4:

The 2 basins were created in the form of rectangular prisms. Every basin is 3 m long, 4 m broad and 4.5 m high. What is the overall volume of the 2 basins?

Question 5:

A pencil case is 22 cm long, 14 cm wide and 4 cm thick. What is the volume of the pencil case?

Question 6:

After the shirts are inspected, each shirt is put into a big bag. Each big bag is 1/6 cubic meter. How many big bags of shirts can fit into a ship with a cargo hold of 200 cubic meters?

Question 7:

The corridor is 6 feet wide, 5 feet deep and 8 feet tall. In the corridor, there is a container that is 2 feet wide, 3 feet long and 4 feet tall. How much room is left in the corridor?

Question 8:

There were 4/8 gallons of latex paint in storage. Doctor House used 2/3 of the paint for the fence. How much paint did he use?

Question 9:

There were 5/7 gallons of latex paint in storage. Anna used 4/5 of the paint for the fence. How much paint did she use?

Question 10:

Karen squeezed 11 5/8 oz of juice into a pitcher that can hold 16 1/3 oz. Molly poured 6 7/8 oz of juice out. How much juice was left in the pitcher?

Question 11:

The mugs can hold 7/9 of a pint of liquid. If John pours 5/6 of a pint of tea into a mug, how much cream can a customer add?

Question 12:

A tin of tea is 14 cm long, 4 cm wide and 18 cm tall. What is the volume of the tin?

Question 13:

The 2 cisterns were designed as rectangular prisms. Each cistern is 6 m long, 4 m wide and 8 m high. What is the total volume of the 2 cisterns?

Question 14:

The 2 basins were created in the form of rectangular prisms. Every basin is 3 m long, 4 m broad and 4.5 m high. What is the overall volume of the 2 basins?

Question 15:

Emily made a pot of cream of pumpkin soup using 5 liters of cream. If she poured the soup into 24 small bowls, what is the amount of cream in ml used for each small bowl of soup?

Question 16:

The private swimming pool is 26 ft long, 17 ft wide and 8 ft deep. When Drew filled it with water up to 5 ft deep, what was the volume of the water he used to fill the swimming pool to that depth?

Question 17:

After the socks are examined, each sock is placed in a medium-sized box. Each medium-sized box is 1/8 cubic yard. How many boxes of socks can fit into an airplane with a cargo compartment of 72 cubic yards?

Question 18:

An individual is recommended to consume half a gallon of liquid daily. If someone drinks 20 fluid ounces from small cups with a capacity of 4 oz each, how much more liquid do they need to consume to meet the recommended intake?

Question 19:

The rectangular lake is 4 m long and 8 m wide and can contain 192 cubic meters when full. How deep is the lake?

Question 20:

A package of chips is 9 cm long, 11 cm wide and 12 cm tall. What is the volume of the package?

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Answer Keys

Question 1: 1400 cubic centimeters

Question 2: 37,100 cubic inches

Question 3: 53/40

Question 4: 108 m³

Question 5: 1232 cubic centimeters

Question 6: 1200

Question 7: 216 cubic feet

Question 8: 1/3

Question 9: 4/7

Question 10: 4 3/4

Question 11: 7/54

Question 12: 1008

Question 13: 384 cubic meters

Question 14: 108 m³

Question 15: 208.33 ml

Question 16: 2210

Question 17: 576

Question 18: 44 fluid ounces

Question 19: 6

Question 20: 1188

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Solutions

Question 1
To calculate the volume of the suitcase, we multiply its length, width, and thickness. Given that the length is 20 cm, the width is 10 cm, and the thickness is 7 cm, we can use the formula: Volume = length * width * thickness. Substituting the values, we get: Volume = 20 cm * 10 cm * 7 cm = 1400 cubic centimeters. Therefore, the volume of the suitcase is 1400 cubic centimeters.

Question 2
To find the total volume of space for cabin guests to keep their possessions, we need to calculate the volume of the safe and the volume of the compartment separately, and then add them together. The volume of a rectangular prism can be calculated by multiplying its length, width, and height. For the safe: Length = 22 inches Width = 25 inches Height = 38 inches Volume of the safe = Length x Width x Height Volume of the safe = 22 inches x 25 inches x 38 inches Volume of the safe = 20,900 cubic inches For the compartment: Length = 18 inches Width = 45 inches Height = 20 inches Volume of the compartment = Length x Width x Height Volume of the compartment = 18 inches x 45 inches x 20 inches Volume of the compartment = 16,200 cubic inches To find the total volume of space for cabin guests to keep their possessions, we add the volume of the safe and the volume of the compartment: Total volume = Volume of the safe + Volume of the compartment Total volume = 20,900 cubic inches + 16,200 cubic inches Total volume = 37,100 cubic inches Therefore, the total volume of space for cabin guests to keep their possessions is 37,100 cubic inches.

Question 3
Add the amount of milk in both glasses: 7/10 + 5/8 = 28/40 + 25/40 = 53/40

Question 4
To find the overall volume of the 2 basins, we need to calculate the volume of each basin and then multiply it by 2. The volume of a rectangular prism is calculated by multiplying its length, width, and height. For each basin: Length = 3 m Width = 4 m Height = 4.5 m Volume of each basin = Length × Width × Height Volume of each basin = 3 m × 4 m × 4.5 m Volume of each basin = 54 m³ Overall volume of the 2 basins = Volume of each basin × 2 Overall volume of the 2 basins = 54 m³ × 2 Overall volume of the 2 basins = 108 m³

Question 5
To find the volume of the pencil case, we need to multiply its length, width, and thickness. Given that the length is 22 cm, the width is 14 cm, and the thickness is 4 cm, we can use the formula: Volume = length * width * thickness. Substituting the values, we get: Volume = 22 cm * 14 cm * 4 cm = 1232 cubic centimeters. Therefore, the volume of the pencil case is 1232 cubic centimeters.

Question 6
To find the maximum number of bags that can fit in the ship, we need to divide the total volume of the cargo hold by the volume of each bag. Hence, 200/(1/6) = 1200 bags can fit in the ship. Therefore, 1200 big bags of shirts can fit into the ship.

Question 7
To find out how much room is left in the corridor, we need to calculate the volume of both the corridor and the container and then subtract the volume of the container from the volume of the corridor. The volume of the corridor can be calculated using the formula: Volume = Length × Width × Height. Plugging in the given measurements, we get: Volume of corridor = 6 feet × 5 feet × 8 feet = 240 cubic feet. Similarly, the volume of the container can be calculated using the same formula: Volume of container = Length × Width × Height. Plugging in the given measurements, we get: Volume of container = 3 feet × 2 feet × 4 feet = 24 cubic feet. To find the room left in the corridor, we subtract the volume of the container from the volume of the corridor: Room left = Volume of corridor - Volume of container = 240 cubic feet - 24 cubic feet = 216 cubic feet. Therefore, there is 216 cubic feet of room left in the corridor.

Question 8
4/8 * 2/3 = 8/24 = 1/3

Question 9
To calculate the amount of paint she used, we need to multiply the total amount of paint with the amount she used. 5/7 * 4/5 = 20/35 = 4/7. Therefore, she used 4/7 gallons of latex paint.

Question 10
Step 1: Convert the mixed numbers to improper fractions 11 5/8 = (8 * 11 + 5)/8 = 93/8 16 1/3 = (3 * 16 + 1)/3 = 49/3 Step 2: Subtract the amount of juice poured out from the initial amount 93/8 - 55/8 = 38/8 = 4 3/4 Step 3: Convert the answer back to a mixed number 4 3/4 oz of juice were left in the pitcher.

Question 11
Subtract the amount of tea from the mug's capacity: 7/9 - 5/6 = 42/54 - 45/54 = -3/54 = 7/54

Question 12
The volume of the tin is calculated by multiplying its length, width, and height. Therefore, the volume of the tin is 14 * 4 * 18 = 1008 cubic centimeters.

Question 13
To determine the total volume of the two cisterns, we need to calculate the volume of each cistern and then add them together. Each cistern has a length of 6 m, a width of 4 m, and a height of 8 m. To find the volume of one cistern, we multiply these values: 6 m * 4 m * 8 m = 192 cubic meters. Since there are two cisterns, we multiply the volume of one cistern by 2: 192 cubic meters * 2 = 384 cubic meters. Therefore, the total volume of the two cisterns is 384 cubic meters.

Question 14
To find the overall volume of the 2 basins, we need to calculate the volume of each basin and then multiply it by 2. The volume of a rectangular prism is calculated by multiplying its length, width, and height. For each basin: Length = 3 m Width = 4 m Height = 4.5 m Volume of each basin = Length × Width × Height Volume of each basin = 3 m × 4 m × 4.5 m Volume of each basin = 54 m³ Overall volume of the 2 basins = Volume of each basin × 2 Overall volume of the 2 basins = 54 m³ × 2 Overall volume of the 2 basins = 108 m³

Question 15
1 liter = 1000 ml. Therefore, 5 liters = 5000 ml. To find the amount of cream in ml used for each small bowl of soup, divide the total amount of cream used by the number of small soup bowls: 5000 ml / 24 = 208.33 ml. Therefore, each small bowl of soup contains 208.33 ml of cream.

Question 16
To find the volume of a rectangular prism, we need to multiply its length, width, and height. In this case, the length of the swimming pool is 26 feet, the width is 17 feet, and the depth is 8 feet. When Drew filled it with water up to 5 feet deep, the new depth becomes 5 feet. Therefore, the volume of water used to fill the swimming pool to that depth is calculated as follows: Volume = Length x Width x Height Volume = 26 feet x 17 feet x (5 feet - 0 feet) Volume = 2210 cubic feet. So, the volume of water used to fill the swimming pool to a depth of 5 feet is 2210 cubic feet.

Question 17
To find the number of boxes that can fit, divide the total cargo volume of the airplane (72) by the volume of each medium-sized box (1/8). This gives us: 72 ÷ (1/8) = 576 Therefore, the answer is 576.

Question 18
Half a gallon is equal to 64 fluid ounces (1 gallon = 128 fluid ounces), so if someone drinks 20 fluid ounces from small cups, they have consumed 20/4=5 cups. To meet the recommended intake, they need to consume an additional 64-20=44 fluid ounces, which is equal to 11 more cups of liquid, as each small cup has a capacity of 4 oz. Therefore, the correct answer is 11*4=44 fluid ounces.

Question 19
To find the depth of the lake, we can use the formula: volume = length * width * depth. Given the volume as 192 cubic meters, the length as 4 m, and the width as 8 m, we can rearrange the formula to solve for the depth: depth = volume / (length * width). Substituting the given values, we get: depth = 192 / (4 * 8) = 6 m.

Question 20
Volume = length × width × height Volume = 9 cm × 11 cm × 12 cm Volume = 1188 cubic centimeters