Practice problems of the volume - page 34 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
- The volume 7
The volume of a cylindrical can is 75.36 in³. The diameter is 4 inches. Find the height. Use 3.14 as an estimation for pi. - Ice cream
Two and a half liters of ice cream are divided (unequally) into two parts that are in the ratio of 1:7. How much is each part? - Ron has
Ron has 4 2/3 liters of oil. He kept 1 1/4 liters and divided the rest into parts of 3/4 liter each. How many parts did he make? - Fuel volume
1/2 of a tank is filled with oil when 36 liters are removed, and the remaining oil fills 1/10 of the tank. What fraction of the total is the amount of oil removed? - Right rectangular prism
The right rectangular prism has a length of 3.2 feet, a width of 1.7 feet, and a height of 2.1 feet. What is its volume? 5.712 ft³ 7.54 ft³ 11.424 ft³ 31.46 ft³ - Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank? - 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. - Grandfather
Grandfather brought a full bucket of blueberries to the market and sold one-sixth of them in the morning. When he sold another 12 liters of blueberries in the afternoon, he had one-sixth of a bucket of blueberries left. How many liters of blueberries are - Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm. - Glasses of juice
Jake's mom filled a 2-liter container with juice. Then Jake poured two glasses of juice. Each glass had precisely 400 milliliters of juice. How many liters of juice remain in the container? - I need
I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm³. What is the formula for this? - Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³. - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - Shell area cy
The cylinder has a shell area of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm. - The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. - In the dairy
There were three times more milk packages in the dairy than half a liter. Four times more liters remained when sold in 10 liters and ten half-liter containers than in half-liter packages. How many packages were there originally? - Hemisphere cut
Calculate the spherical layer's volume that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm. - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume.
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