Practice problems of the cube - page 24 of 27
Number of problems found: 531
- Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of cone and cube. Please write the ratio as a decimal number and as a percentage. - Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm? - Shots
5500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Inscribed
The cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long. - Cube in ball
The cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere? - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with an edge length of 5 cm. - Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Tangent spheres
A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in the corner of a room. The spheres are each tangent to the walls and floor an - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area. - Cube in a sphere
The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3 - Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 2 l if the container's height equals the base's diameter. - Rotary cone
The volume of the rotation of the cone is 472 cm³. The angle between the side of the cone and the base angle is 70°. Calculate the lateral surface area of this cone. - Tower
Charles built a tower of cubes with an edge 2 cm long. In the lowest layer, there were six cubes (in one row) in six rows. In each subsequent layer, always one cube and one row less. What volume in cm³ did the whole tower have? - Cube in sphere
The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the cube's volume from the ball's volume? - Identical 35961
Nine identical spheres are stacked in the cube to fill the volume of the cube as much as possible. What part of the volume will the cube fill? - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone.
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