Practice problems of the volume - page 26 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
- Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm? - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Flower boxes
How many m² of 10mm thick boards are needed to make 12 flower boxes? The dimensions of the box are 180,150, and 1500 mm. - Clades - cylinder
What is the weight of twenty spruce clades (cylinder shape), which have a diameter of 30 cm and are 4 m long? - The cylinder
The cylinder has a surface area of 300 square meters, while the cylinder's height is 12 m. Calculate the volume of this cylinder. - Cuboid to cube
A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube. - Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden? - The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface. - How high
How high does a prism with base dimensions of 1.7 dm and 5 dm reach if 1032 dm cubic will fit? - Sphere radius
The radius of the sphere we reduce by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long? - Edges or sides
Calculate the cube volume if the sum of the lengths of all sides is 276 cm. - Octane value
I loaded 10L 95 octane gasoline and 5L 100 octane gasoline. What is the resulting octane value of the gasoline in the tank? - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Calculate
Calculate the surface of the cube if its volume is 64 cm³. - Apple juice
From 7 kg of apples, we get 3 liters of apple juice. How many liters of juice do we get from 42 kilograms of apples? - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Square prism
Calculate the volume of a square prism of high 2 dm wherein the base is: Rectangle with sides of 17 cm and 1.3 dm - Coolant
The driver filled the car coolant with a mixture of 3.9 liters and 2.6 liters of water antifreeze coolant. At what rate are these two components mixed? - Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water?
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