Cube - high school - practice problems - page 3 of 6
Number of problems found: 105
- Eiffel Tower
Eiffel Tower in Paris is 300 meters high and is made of steel. Its weight is 8000 tons. How tall is the tower model made of the same material if it weighs 1.8 kg? - Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Endless lego set
The endless lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed. - Original 63974
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube.
- 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%? - Cube zoom
How many percents do we increase the volume and surface of the cube if we magnify its edge by 47 %? - Cube diagonals
Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm. - Seat
How much m² of fabric do we need to sew a 50cm-shaped cube-shaped seat if we add 10% of the material to the folds? - Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals.
- The body
The body on the figure consists of cubes with an edge length of 10 cm. What surface has this body? - Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters. - Cube walls
Find the volume and surface area of the cube if the area of one wall is 40 cm². - Cube - wall
V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky? - Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube.
- Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Cube - angles
Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and the cube base. - Moivre 2
Find the cube roots of 125(cos 288° + i sin 288°). - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72?
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