Practice problems of the cube - page 25 of 27
Number of problems found: 531
- Inscribed 81949
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter. - The funnel
The funnel has the shape of an equilateral cone. Calculate the area wetted with water if you pour 3 liters of water into the funnel. - Block-shaped 7976
A block-shaped pool with a volume of 200m³ is to be built in the recreation area. Its length should be 4 times the width, while the price of 1 m² of the pool bottom is 2 times cheaper than 1 m² of the pool wall. What dimensions must the pool have to make
- Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Cube-shaped 5916
Eric cleans up after playing with a cube-shaped cube with an edge of 14 cm. He cleans them into three boxes. How many cubes can fit in: 1) cuboid with edges 4.2 dm, 5.6 dm, and 7dm? 2) a cube with an edge of 560 mm? 3) cuboid with edges 0.98m, 2.8 dm, and - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, - Calculate 83248
The cube ABCDEFGH has an edge of length 3 cm. Calculate the volume of the pyramid ABCDH. - Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface?
- Wooden container
The locksmith should cover the cube-shaped wooden container with a metal sheet inside. The outer edge of the container is 54cm. The wall thickness is 25 mm. The container has no lid. Calculate. How many sheets will be needed to cover it? - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 7.1 liters of water. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Wooden block
A cuboid-shaped wooden block has 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is divid - Dimensions: 82706
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805cm, width 525cm, and length 15m. The third cube-shaped part is 7m wide. What is the total volume of the building in cubic meters?
- Three-quarters 6591
How many liters of water are in a cube-shaped pool with dimensions equal to 3 whole six meters b equals one full 9 meters and a depth of one total 5 meters if it is filled to only three-quarters of its volume? - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then the plasticine was split into two parts in a ratio of 1:8. From each piece made, a cube. In what ratio are the surfaces of these cubes? - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Dort
The cube-shaped cube box has dimensions of 30 cm × 30 cm × 12 cm. How many CZK (Czech crowns) would it cost to be the biggest cake that would fit into the box when a 10 cm³ cake costs CZK 0.5? The cake has the same shape as the box.
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