Solid geometry + cube - practice problems - page 23 of 24
Number of problems found: 477
- 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 - Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 47 %? - 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 construction
A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )
- Water level
The glass container has a cuboid shape with dimensions of the bottom 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume, which is sunk into the water if the water level rise by 3 cm. - Identical 35961
Nine identical spheres are stacked in the cube to fill the volume of the cube as much as possible. What part of the volume will the cube fill? - 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? - Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the content of the wall of the smaller cube to the content of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger - Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
- Substance 81736
What kind of substance is it if it is enclosed in a cube with a volume of 8 m³ weighing 110 kg and the entire cube weighs 115.78 kg? - Cube-shaped 2751
What weight will a cube-shaped concrete base with an edge length of 10 m have if one concrete cube weighs 2200 kilograms? - Granite cube statue
What is the weight of a granite cube with an edge length of 75 cm if one m³ of granite weighs 2.7 tons? - Ladder
A 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - A cube
A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction?
- Determine 46401
The volume of the sphere is 20% larger than the volume of the cone. Find its surface if the volume of the cone is 320 cm³. - Decreases 5625
How much percent will the surface and volume of the cube decrease if the diagonal decreases by 10%? b) if the diagonal increases by 10%? - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Mountain 64314
The hiker set out on a hike at 5 km/h. After 30 minutes, a cyclist on a mountain bike set off on the same route at 20 km/h. How many minutes will the cyclist overtake the tourist?
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