Question 1:

A box is 2 m long, 2 m wide and 4 m tall. What is the volume of the box?

Question 2:

A box is 4 feet wide, 5 feet deep, and 2 feet high. What is the volume of the box?

Question 3:

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 4:

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?

Question 5:

A parade has 144 participants. After B tickets are purchased for the parade, 83 participants remain. Find B.

Question 6:

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

Question 7:

The rectangular pond is 20 m long and 25 m wide and can contain 2500 cubic meters when full. How deep is the pond?

Question 8:

A rectangle is 3 inches wide, 5 inches long, and 8 inches tall. What is the volume of a tower that is built by 3 such rectangles?

Question 9:

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 10:

The theater needs to hire x staff members for each show. Write the expression for the number of staff members they need to hire for 15 shows.

Question 11:

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 12:

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

Question 13:

A set of DVDs is 16 inches long, 8 inches tall, and 6 inches wide. What is the volume of the set of DVDs?

Question 14:

A table is 2 m long, 2 m wide and 4 m tall. What is the volume of the table?

Question 15:

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 16:

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 17:

Dave sent out invitations to 20 friends for his birthday party. n friends replied and he is waiting for the other 5 friends to reply. Find n.

Question 18:

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 19:

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

Question 20:

A shipping container is 10 m wide, 68 m long and 12 m tall. What is the volume of the shipping container?

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Answer Keys

Question 1: 16

Question 2: 40 cubic feet

Question 3: 44 fluid ounces

Question 4: 1281 cubic inches

Question 5: 61

Question 6: 16 - w

Question 7: 5 m

Question 8: 360 cubic inches

Question 9: 384 cubic meters

Question 10: 15*x

Question 11: 10 - r

Question 12: 127500 cubic m

Question 13: 768 cubic inches

Question 14: 16

Question 15: 7

Question 16: 6

Question 17: 15

Question 18: 6

Question 19: 1400 cubic centimeters

Question 20: 8160 cubic m

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Solutions

Question 1
The volume of the box is calculated by multiplying its length, width, and height. Therefore, the volume of the box is 2 * 2 * 4 = 16 cubic meters.

Question 2
To find the volume of the box, multiply its width, depth, and height. The formula for the volume of a rectangular prism is V = length * width * height. In this case, the width of the box is 4 feet, the depth is 5 feet, and the height is 2 feet. Therefore, the volume of the box is V = 4 ft * 5 ft * 2 ft = 40 cubic feet.

Question 3
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 4
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.

Question 5
We can represent the problem using an equation: 144 - B = 83. Solving for B, we get B = 61. Therefore, 61 tickets were purchased for the parade.

Question 6
Number of screens that were open = 16 - w

Question 7
To find the depth of the pond, we need to divide the volume of the pond by its base area. The volume of the pond is given as 2500 cubic meters. The base area of a rectangular prism can be calculated by multiplying its length and width. The length of the pond is 20 m and the width is 25 m. Therefore, the base area of the pond is 20 m * 25 m = 500 m². To find the depth, we divide the volume by the base area: depth = volume / base area = 2500 m³ / 500 m² = 5 m.

Question 8
To find the volume of a tower built by 3 rectangles, we need to calculate the volume of one rectangle and then multiply it by 3. The volume of a rectangular prism can be calculated by multiplying its length, width, and height. Given that the rectangle is 3 inches wide, 5 inches long, and 8 inches tall, the volume of one rectangle can be calculated as follows: Volume = length * width * height = 5 inches * 3 inches * 8 inches = 120 cubic inches. To find the volume of the tower, we multiply the volume of one rectangle by 3: Tower Volume = 120 cubic inches * 3 = 360 cubic inches. Therefore, the volume of the tower built by 3 rectangles is 360 cubic inches.

Question 9
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 10
The expression for the number of staff members they need to hire for 15 shows would be 15*x.

Question 11
Number of markers in her coloring book now = 10 - r.

Question 12
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 13
To find the volume of the set of DVDs, we need to multiply its length, width, and height. Volume = length x width x height. Therefore, the volume of the set of DVDs is 16 x 8 x 6 = 768 cubic inches.

Question 14
The volume of the table is calculated by multiplying its length, width, and height. Therefore, the volume of the table is 2 * 2 * 4 = 16 cubic meters.

Question 15
n = 8 - 1 = 7

Question 16
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 17
n = 20 - 5 = 15

Question 18
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 19
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 20
The volume of the shipping container can be calculated by multiplying its length, width, and height. Thus, the volume is 10 m x 68 m x 12 m = 8160 cubic m.