Solid geometry, stereometry - page 4 of 123
Number of problems found: 2441
- 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. - The diameter
The cone's diameter is 24 cm, and the radius is 12 cm. How many cm does height measure if it is one-third larger than the radius of the cone? - Aquarium
How many litres of water can fit in an aquarium measuring 30 cm × 15 cm × 20 cm? - Sandbox
How many cubic meters of sand are needed to fill the sandbox on the field if it has the shape of a circle with a diameter of 3 m and is 25 cm deep? - Surface and volume
Calculate the surface and volume of a cylinder whose height is 8 dm and the radius of the base circle is 2 dm. - Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm if ρ = 8.9 g/cm³? - Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it? - Tank metal calculation
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm? - Flower boxes
How many m² of 10 mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm. - Water cylinder tank
Water tank, r = 60 cm, h = 90 cm. How many liters of water can fit in it? - Clades - cylinder
What is the weight of twenty spruce clades (cylinder shape), which have a diameter of 30 cm and are 4 m long? - Bronze ball weight
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - Mug volume calculation
What is the volume V (dl) of a cylinder-shaped mug if it is 8 cm high and its figure is 7 cm?
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