Cube practice problems - page 25 of 29
Number of problems found: 566
- Ball box percentage
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill? - Sphere cube percentage
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Water ball diameter
The water ball has a volume of 32,500 m³. How big is its diameter? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube? - Mug in Cube Box
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball? - Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius? - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of the cone and cube. Please write the ratio as a decimal number and as a percentage. - Cylinder in a Cube
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with a 5 cm edge length. - Inscribed sphere
How much percent of the cube volume takes the sphere inscribed into it? - Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter? - Inscribed
The cube is inscribed in the cube. Determine its volume if the edge of the cube is 10 cm long. - 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. - Surface of the cylinder
Calculate the cylinder's surface area when its volume is 45 l, and the base's perimeter is three times the height. - 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. - Cube from sphere
What is the largest surface area (in cm²) that a cube cut from a sphere with a radius of 26 cm can have?
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