Solid geometry, stereometry - page 4 of 120
Number of problems found: 2399
- 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? - 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 its : (a) volume (b) curved surface area. - Spheres - ratios
The surface area 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 sections. The height of the smaller section is 1cm. Determine the volume of the smaller section to the nearest hundredth of a cm³. - In an aquarium 3
In an aquarium 60cm long and 30cm wide, water is poured to a height of 25cm. Determine the mass of the water in the aquarium.
- Water lily
The father placed 4 containers with water lilies in the built pond. The containers had the shape of a cylinder with a diameter of 55 cm and a height of 27 cm. How many liters are all the water lily containers? - Density of a cube
Calculate the density of a cube if the height is 8 cm and the mass of the cube is 3 kg. - Liquid - pouring We need to pour liquid from two cube-shaped containers into one container. The original containers have edges of 0.7 m and 0.9 m. What will be the edge length of the cube of the common 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, and 20 cm, if its mass is 84 kg? - Sand pedestal
The pedestal under the giant billboard is a prism-shaped steel plate structure filled with sand. How much sand will it fit, and what is the area of the plates used? We can neglect their thickness. The dimensions are 1m*4m*90cm. - Telegraph 83610 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? - Shaped 82232 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 82009
The house has foundations of 12x8m. 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? - Small density cube Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.
- Dimensions 81909
The foundation pit for building houses has a face of blocks with dimensions of 10 meters, 10 meters, and 2 meters. After a heavy rain, the water is filled to the brim. The pump pumps out 10 m³ of water in 1 hour. In how many hours will the pit be empty? - Approximately 81836
Approximately how many liters of water are there in a pot with a base diameter of 32 cm and a height of 25 cm?
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