Cube practice problems - page 26 of 28

Number of problems found: 556

Identical 35961
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³?
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?
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,
The funnel
The funnel has the shape of an equilateral cone. If you pour 3 liters of water into the funnel, calculate the area wetted with water.
Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 2488 cm³. Calculate the radius of the base circle and the height of the cone.
An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter.
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?
Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area.
The pool - optimization
A block-shaped pool with a volume of 200 m³ 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
Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.1 liters of water.
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
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?
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 a 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 div
Dimensions - building
The H-shaped building consists of 3 parts. Two identical components have the following dimensions: height 805 cm, width 525 cm, and length 15 m. The third cube-shaped part is 7 m wide. What is the total volume of the building in cubic meters?
A flower pot
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A) Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B) Calculate the weight of the flowerpot if the concre

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