Practice problems of the volume - page 30 of 118
Volume is the measure of the space that a body fills or occupies. The basic SI unit of volume is the cubic meter. It is the volume of a cube with an edge of one meter, i.e., 1 m x 1 m x 1 m. Significant another unit is 1 l (one liter), 1 m3 = 1000 l applies. One hectoliter (1 hl) is 100 liters.Volume is always the third power of length. Or volume = area times length. For example, the volume of the cube is a3, and the prism's volume is S*h (the area of the base times the height). The volume of rotating bodies (sphere, cone) can be derived in high school by integration. The pyramid's volume is always 1/3 of the prism's volume. We calculate the volume of the truncated bodies either with a formula or simply by subtracting the volumes of the two bodies.
Number of problems found: 2354
- The cola
Leif, Leslie, Lorenzo, and Noah have 2 quarts of cola. They want to share it equally. How many quarts of cola will each of them get? - I have
I have 1/5 of an ounce of water left. I separate the water equally into two cups. How many ounces of water are in each cup? - Cornbreads
If four and a half teaspoons of baking powder are needed to make ten servings of cornbread, how many teaspoons are needed to make 25 servings? - Paula
Paula is painting six doors that are all the same size. She used 2 liters of paint to cover 1 3/5 doors. How many liters of paint are needed for 1 door?
- Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round to the nearest tenth. - Petrol as fuel
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters. The fuel gauge shows there are 15 liters left in the tank. How many more miles can the car travel before it runs out of petrol? - Oil change
A container holds 1/4 gallon of oil. Jack is changing the oil in his vehicles and needs 11 containers. How many gallons of oil does Jack need? - Mac painter
Mac is mixing red and white paint to make pink for his candy painting. He uses 1/4 ounces of red paint and 2/3 ounces of white paint. How many ounces of paint did he use? - Tank B
Tank B has the same volume as Tank A. The volume of one section of Tank B is 4545 cubic feet. What is the volume, in cubic feet, of the other section of Tank B? Total volume of both tanks A+B is 15000 ft³. Enter your answer in the box.
- An aquarium
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank? - Height of a cube
What is the volume of a cube if the height is 5cm? - Gavin
Gavin had 3 gallons of orange juice ready to serve at the breakfast party. His family drank 2 ⅛ gallons. How much is left? Show your work with a number line, area model, or grid. - Gift box
A gift box has dimensions of 8 1/2 inches, 5 1/2 inches, and 2 1/2 inches, respectively. How many cubes with side lengths of 1/2 inches would be needed to fill the gift box? - Red Riding Hood
Red Riding Hood is making her special banana pudding recipe. She is looking for her cup measure but can only find her quarter cup measure. How many quarter cups does she need for 2 cups of sour cream?
- Bucket 4
The bucket has 5/8 gallons of water. The bucket tips over, and 7/12 gallons of water pour out. How much water is left in the bucket, in gallons, written as a fraction? - Grayson
Grayson bought snacks for his team's practice. He bought a bag of oranges for $3.11 and a 24-pack of juice bottles. The total cost before tax was $50.15. How much was each bottle of juice? - Tom has
Tom has a water tank that holds 5 gallons of water. Tom uses water from a full tank to fill six bottles holding 16 ounces and a pitcher holding 1/2 gallon. How many ounces of water are left in the water tank? - An architect
An architect is designing a house. He wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom? First, find the volume - Dimensions 50531
The Mokry family wants to build a pool in the garden, which has the shape of a cuboid with dimensions of 3 m wide, 5 m long, and 1.20 m deep. They need to dig a hole whose dimensions will be 70 cm larger than the dimensions of the pool. How often does the
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