Question 1:

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 2:

A trunk is 7 feet wide, 3 feet deep, and 4 feet tall. What is the volume of the trunk?

Question 3:

Last Saturday, a basketball team had a practice for x hours. The team had 25 minutes of break during the practice.Write the expression for the number of minutes the basketball team were trained.

Question 4:

A basket is 27 cm long, 5 cm wide and 18 cm tall. Inside the basket is a box that is 12 cm long, 1 cm wide and 15 cm tall. How much space is left in the basket?

Question 5:

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 6:

Mandy bought a portable radio for $45 and 4 sets of headphones for $x each in an electronic shop yesterday. She paid a total of $100. Solve for x.

Question 7:

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

Question 8:

A cargo container is 10 feet wide, 8 feet deep, and 4 feet high. What is the volume of the cargo container?

Question 9:

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 10:

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

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Answer Keys

Question 1: 384 cubic meters

Question 2: 84 cubic feet

Question 3: x * 60 - 25

Question 4: 2250 cm³

Question 5: 1281 cubic inches

Question 6: 13.75

Question 7: 40 cubic feet

Question 8: 320 cubic feet

Question 9: 48

Question 10: 1008

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Solutions

Question 1
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 2
To find the volume of the trunk, 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 trunk is 7 feet, the depth is 3 feet, and the height is 4 feet. Therefore, the volume of the trunk is V = 7 ft * 3 ft * 4 ft = 84 cubic feet.

Question 3
Number of minutes trained = x * 60 - 25

Question 4
To find the volume of the box, we multiply its length, width, and height: 12 cm × 1 cm × 15 cm = 180 cm³. To find the volume of the basket, we multiply its length, width, and height: 27 cm × 5 cm × 18 cm = 2430 cm³. To find the space left in the basket, we subtract the volume of the box from the volume of the basket: 2430 cm³ − 180 cm³ = 2250 cm³. Therefore, there is 2250 cm³ of space left in the basket.

Question 5
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 6
Step 1: Write the equation for the total cost: 45 + 4x = 100. Step 2: Simplify the equation by subtracting 45 from both sides: 4x = 55. Step 3: Solve for x by dividing both sides by 4: x = 13.75. Therefore, Mandy paid $13.75 for each set of headphones.

Question 7
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 8
To find the volume of the cargo container, 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 cargo container is 10 feet, the depth is 8 feet, and the height is 4 feet. Therefore, the volume of the cargo container is V = 10 ft * 8 ft * 4 ft = 320 cubic feet.

Question 9
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 10
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.