Cube practice problems - page 22 of 29

Number of problems found: 566

Lathe
Calculate the percentage of waste if the cube with 44 cm long edge is lathed to the cylinder with a maximum volume.
Lathe
From the cube of edge, 41 cm was lathed a maximum cylinder. What percentage of the cube is left as waste after being lathed?
The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
Lump sugar
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make
Cylinder diameter height
The cylinder's volume is 5 l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder.
Cylinder cube water
We placed the largest possible lead cylinder inside a 1-litre cubic container. How many decilitres of water will now fit in the container?
Prism cubes
How many 2 cm prism cubes do we need to make a 6 cm cube out of them?
Courtyard oak bricks
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard.
Juice-soaked glass
1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There are three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked porti
Roller dice weight
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice?
Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall?
Hollow sphere
The hollow steel sphere floats on the water, plunged into half its volume. Determine the outer radius of the sphere and wall thickness if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
The cube
The cube and cylinder weigh the same as three 20-gram weights. Three cubes and one cylinder weigh the same as two cylinders and one cube. How many grams does one cube weigh (and one cylinder)?
Plasticine ball
Plasticine balls each have a radius of r₁=77 cm, r₂=98 mm, r₃=9 cm, r₄=81 cm, r₅=5 cm, r₆=74 mm, r₇=49 mm, r₈=43 mm, r₉=26 mm, r₁₀=2 cm. They are
Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr
Cube-shaped crates
A shipment of 2560 cubic dm of dried Secret arrived in eight identical cube-shaped crates. What is the height of one crate if it has a square base with an edge length of 8 dm and each crate is filled to the brim?
Cube cylinder volume
There is a cylinder with the largest possible volume in the cube with an edge of 6 m. What percentage of the volume of a cube has the volume of a cylinder?
A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface.
Cube Edge from Surface
Determine the length of the edge of the cube, the surface of which is equal to 60% of the surface of a block measuring 7 cm, 8 cm, 6 cm
Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 6 cm, has the same volume as a cube with an edge length of 1 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cube

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