Cube + square - practice problems - page 9 of 11
Number of problems found: 202
- Centimeters 3623
The children's kit consists of blocks and cubes. Each cuboid has dimensions of 6 cm, 5 cm, and 4 cm, and each cube has an edge 5 cm long. Which of these building blocks has the larger surface area, and by how many square centimeters? - Cone
The circular cone has height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Measuring 2719
A butter cube with an edge 6.5 cm long is packed in a package measuring a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block?
- Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Circumscribed 81025
A cube with a volume of 4096 cm³ is described and inscribed by a sphere. Calculate how many times the volume of the circumscribed sphere is greater than the inscribed sphere. - Diameter 48211
What is the diameter of the ball (for men) if it weighs 7,250 g and ρ = 7.8g / cm³ - Calculate 82458
Calculate the volume of a cube with a wall diagonal of u = 20 cm. - Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm?
- Cutting the prism
A prism with a square base with an area of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the body's surface formed from the cube after cutting the prism? - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Ball-shaped 28481
How many square meters of material is needed to make a ball-shaped balloon with a volume of 950 m³? - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or - Cubes
One cube is an inscribed sphere, and the other one is described. Calculate the difference of volumes of cubes if the difference of surfaces in 231 cm².
- Percentage 67564
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? - Surrounded 8283
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. - 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? - Equilateral cylinder
Find the radius and height (in centimeters) of an equilateral cylinder with a volume of 1 liter. - Balls
Three metal balls with volumes V1=81 cm³ V2=96 cm³ and V3=28 cm³ melted into one ball. Determine its surface area.
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Cube practice problems. Square practice problems.