Practice problems of the volume - page 14 of 117
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: 2323
- 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? - Amira
Amira has 4/5 of a tank of fuel. She uses 1/10 of a tank per day. How many days will fuel last? - Mrs Olive
Mrs. Olive used 1 2/5 quarts of syrup and 5 3/10 quarts of water to make lemonade .how many quarts of lemonade did she make? - A fuel
A fuel tank has 28 gallons of fuel. One gallon of fuel weighs 7 1/10 pounds. How many pounds of fuel are in a full tank? - One gas
One gas tank was 2/3 full. The second tank of equal size was 1/5 full. The amount of gas in the 1st tank was 100 liters. How many liters is the amount of gas in the second tank? - Juice servings
Dina has 3 5/8 liters of pineapple juice. If one serving is 1/4 liter, how many servings of pineapple juice does she have? - Bennett
Bennett has 2L of apple juice. Each glass holds 3/5 L. How many glasses can he fill? - A baker 2
A baker mixed 12 teaspoons of yeast and 114 teaspoons of salt to make one dough. How much yeast and salt are needed to make three doughs? - Lemonade
During a contest, Karlo drank 1 3/4 liters of lemonade, and Ralph drank 1 ½ liter. Who drank more lemonade, and by how much? - Cylinder from paper
From a rectangle measuring 20 x 30 cm, we roll a cylinder with a height of 30 cm. Find its volume and surface. - Lin has
Lin has a cake pan that has a length of 8/3 inches, a width of 15/4 inches, and a height of 3/2 inches. What is the volume of the cake pan? - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Volume of sphere
How many times does the volume of a sphere increase if its radius increases two times? - Permille of alcohol
I have 2 per mille of alcohol in my blood. How many milliliters is it when I have 5 liters of blood? - Cylinder and its circumference
The height of a cylinder is four times its circumference, c. What is the volume of the cylinder in terms of its circumference c? - Water tank
In an empty fire tank, 2150 hl of water jetted in 5 hours. How many hectoliters of water were jetted every hour? How many hectoliters of water were in the tank after three hours? - Cubes into cuboid
How many 12-centimeter cubes fit into the block (cuboid) with 6 dm, 8.4dm, and 4.8? - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase? - Milk bill
Mrs. Tara buys 2 liters of milk daily if 1 liter of milk costs $0.27. What will be her milk bill for 30 days?
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