Solid geometry, stereometry - page 4 of 123
Number of problems found: 2442
- A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume? - Plasticine cuboid
Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube? - Scale model
In a model train set, 1.38 inches represents one foot in real life. The height of One World Trade Center in New York City is 1776 feet. How tall would a scale model of the building be? Should you calculate 1776 x 1.38 or 1776 ÷ 1.38? - Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Iron ball 2
What is the mass of the iron ball with a diameter of 1,0 dm? The density of iron is 7870 kg/m³. - A cube 4 A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube.
- The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its: a) volume, b) curved surface area. - Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes. - Two Sections
A sphere with a radius of 5 cm was divided into two spherical caps. The height of the smaller cap is 1 cm. Determine the volume of the smaller cap to the nearest hundredth of a cm³. - In an aquarium 3
In an aquarium 60 cm long and 30 cm wide, water is poured to a height of 25 cm. Determine the mass of the water in the aquarium. - Water lily
A father placed 4 containers with water lilies in a newly built pond. The containers were cylindrical with a diameter of 55 cm and a height of 27 cm. What is the total volume of all four water lily containers in litres? - Density of a cube
Calculate the density of a cube if its edge is 8 cm and its mass is 3 kg. - Liquid - pouring We need to pour the liquid from two cube-shaped containers into a single container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the combined cubic container?
- DEnsity of a cuboid
What is the density of a building board in the shape of a cuboid with dimensions 1 m × 20 cm × 20 cm, if its mass is 84 kg? - Telegraph poles How much wood was used to make 200 telegraph poles 6 m high and 15 cm in diameter?
- 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? - Cubes in a box How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm?
- Foundations dimensions
The house has foundations of 12x8 m. How many cubic meters of gravel do we need if we want to fill it to a depth of 10 cm? - Diameter of barrel
A garden barrel that is 1 m high has a base with a diameter of 80 cm. How many liters of water can fit in the barrel?
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