Practice problems of the volume - page 25 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
- Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle. - Hectoliters 3342
We filled the water tank from 3/5 of its volume. After releasing 21 hl, only 1/4 of the entire volume remained. How many hectoliters of water can the tank hold? - Cubes 3201
How many small cubes do we get when we cut a cube with an edge of 5 dm into cubes with an edge of 1 dm? - Ketchup vs mustard
A 20-ounce bottle of ketchup costs $2.80. A 14-ounce bottle of mustard costs 2.38. Which item costs less per pound? How much less? - The pitcher
The pitcher contains 18 5/9 ounces of apple juice. How many ounces are left in the pitcher if 7 2/3 ounces of juice is poured out? - Jaya drinks
Jaya drinks 1/2 liter of water in the morning, 1 1/4 liter at noon, and 14/3 l of water in the evening. How much water did she consume in a day? - Alternating circuit
In an alternating circuit, the total voltage V is given by V=V1 +V2 If V=(12.2+6.8i) V and V1=(7.8-2.5i) V, find the voltage V2. - A cuboid
A cuboid has a volume of 768 cm3, and the edges marked x are equal in length. Calculate the value of x - Fuel tank 2
A motorist puts 3/4 of a fuel tank in his car every week. The tank holds 60 liters when full. How many liters of fuel does he use per week? - Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0cm is submerged in the cone. Find the volume of water below the sphere. - A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume. - Weight fraction
To prepare the brine, we need 1500 g of an aqueous salt solution with a weight fraction of 0.08. What salt weight and water volume do we need to prepare it? - The granite ball
What is the weight of a granite ball with a radius of 60 cm if 1 m³ of granite weighs 2.7 tons? - Willie
Willie collected 6 2/3 pails of water. How many big containers can she fill? Does each container contain 2 2/9 of a pail? - Mike built
Mike built a cylindrical water tank with a radius of about 1.8 m and a height of 2 meters. How many liters of water will it hold? - Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long. - The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the edge and surface of the box. - The cube
The cube has a surface of 600 cm². What is its volume? - Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
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