Solid geometry, stereometry - page 27 of 123
Number of problems found: 2441
- Paint cans
The room has 4m, 5m, and 2.4m dimensions. How many cans of paint are needed to paint the walls and ceiling of this room? If one can, is it enough for ten m²? - Cannonballs
Three cannonballs with a diameter of 16 cm landed in the castle courtyard during the battle. The castle blacksmith made balls with a diameter of 10 cm, which fit into the cannons placed on the walls. How many cannonballs did the blacksmith cast? - The soup pot
The soup pot is shaped like a cylinder with a bottom diameter of 30 cm and a height of 36 cm. How many people is the soup enough if the pot is filled to ¾ height? It is calculated with 0.25 l of soup for one person. - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - Bathtub
Kevin has a bathtub shaped like a block. It measures 70 cm long, 45 cm wide, and 50 cm high. The bathtub will be filled with clean water 3/5 of its height. The clean water needed is…. - Granite column
A cylindrical granite column in a square is 8 meters high and has a diameter of 70 cm. I need to find out how much it weighs. Will this column support a truck with a load capacity of 8 tons? - Rain cans
3 mm of water rained down on the garden with an area of 800 m². How many ten-liter cans did this rain replace? - Hemisphere of ice-cream
The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold? - Cremons
The freight wagon is shaped like a cuboid 21m, 3.5m, and 4.2m. How many cube-shaped dorts can be loaded if one is a cube with an edge length of 7 cm? - Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller? - Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³. - Cylindrical pool
The Novak family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall? - Cube cutting
We cut identical cubes with an edge length of 2 cm from two corners from a wooden cube with an edge of 0.6 decimetres. How many cubes with an edge length of 2 cm can still be cut from a wooden cube? - Letter painting
We glued the letter T from two identical wooden blocks, 5 cm x 5 cm x 10 cm, and wanted to paint it. How big will it be? - Sheet of paper
Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no) - Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Truck of milk
How many hectoliters of the box milk fit in the truck if the cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm. - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Hollow sphere
Calculate the weight of a hollow dural sphere (density 2.75 g/cm³) if the inner diameter is 18 cm and the wall thickness is 3 mm.
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