Volume - high school - practice problems
Number of problems found: 410
- Cuboid
Find the cuboid that has the same surface area as the volume. - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone. - Cylinder - A&V
The cylinder has a volume of 463. The base has a radius 4. What is the area of the surface of the cylinder? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm. - Volume from surface area
What is the volume of the cube whose surface area is 96 cm²? - Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water? - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid. - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Gas consumption
The vessel consumes 100 tons of gas in 250 miles. How much fuel will the vessel consume if it travels 400 miles? - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water? - Sphere in cone
A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Gasholder
The gasholder has a spherical shape with a diameter of 19 m. How many m³ can hold in? - 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? - Cube edges
If the edge length of the cube increases by 50%, how does the volume of this cube increase? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is a volume of a sphere inscribed in that cube?
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