Practice problems of the volume - page 3 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: 2345
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Rene drank
Rene drank some cola from a 500 ml bottle. He found that 2/5 was remaining. How much did he drink? - An object
An object has a mass of 900 g and a volume of 1875 cm³. Calculate the density. - A water 2
A water tank is 2m long, 1.9m wide, and 964 mm deep. How much water will it hold? Answer in liters. 2nd question: A tank that is 2.5 m long and 1.5m deep holds 6.75 cubic meters of water. What is its width? - Three glasses 2
When a jug is half full, it contains enough juice to fill 3 glasses. How full would the jug be if it had enough juice to fill 5 glasses? - Smoothie 2
David is using 100 ml of pineapple juice to make a smoothie. He needs to use a pineapple juice to orange juice ratio of 2: 5. How much orange juice should he use? - 2-cycle
2-cycle engines require a mixture of oil and gas to run properly. For every gallon of gas, a certain 2-cycle engine requires 1 1/4 fl oz of oil. How much oil must be added to prepare 3 1/2 gallons of gas to get the proper mixture? - Collin
Collin is making fruit for a birthday party using the recipe below Ingredients Pink lemonade ; 1 1/2 gal Seltzer water ; 2 3/4 gal Fruit juice ; 7/8 gal Collin is using a punch bowl that holds 8 gallons of punch. How much more punch could Collin make the - A cube 2
A cube has an edge length of 4 cm. Then its volume is: - Anneta
Anneta wants to buy a piece of land for farming; she wants to use 1/3 of the land to plant cocoa, 2/7 for a Palm plantation, and the rest for a vegetable plantation. 1). Find the fractions of the land used for vegetable plantation 2). If one wants to use - Water 70
Water is poured into a hemisphere-shaped bowl at a rate of 5m³ per second. If the bowl has a depth of 8m, how long does it take to fill up the bowl to the rim? - Water balloon
Tracy and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters to fill them equally. How much water was in each balloon? Write your answer as a proper fraction or mixed number. - Helium balloon
Oscar needs to fill a sphere-shaped balloon with helium. If the balloon has a diameter of 8 inches, what is the total amount of helium that the balloon will hold to the nearest tenth? - A food
A food delivery uses the following amounts of diesel over a month: 35.5 liters in week 1, 42.9 liters in week 2, 86.9 liters in week 3, and 66.2 liters in week 4 . (a) How many liters have been used? (b) If diesel costs £1.35 per liter, how much would fue - A container
A container with 2 1/2L of water is being poured into other containers that can hold 1 1/3L of water. Each container has to be filled, so how many L of water will the last container hold? - One-third of a drum
1/3 rd of a drum is filled with water. Needed another 60 l of water to fill the whole drum, then what is the capacity of a drum? - Heat energy
Energy is measured using the unit Joule (J). Temperature is measured using the unit degree Celsius °C). To increase the temperature of 1 liter of water by 1°C, 4200 J of heat energy is required. (a) Kelly wants to increase the temperature of 2 liters of w - Wendy 2
Wendy is creating a large soup based on a recipe. Her recipe calls for 3/4 of a pint of milk, but she only has 5/8 of a pint of milk, so she can only make a portion of her soup. What fraction of her recipe can Wendy make? - Create 6
Create a new drink can that will double the volume of the original can used. Dimensions of the can: 6cm diameter and 10cm height. You are to double the volume with the least amount of additional aluminum needed for the new can. There are 3 options : Optio - Marcellus
Marcellus has two bottles of ketchup that are the same size. One bottle is 1/5 full, and the other bottle is 1/2 full. Can all the ketchup fit into one bottle without the ketchup overflowing?
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