Solid geometry, stereometry - page 27 of 121
Number of problems found: 2404
- Quadrilateral 73034
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm.
- Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter?
- 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?
- Waste container eco
The waste box is shaped like a block and has dimensions of 1.8 m, 1.5 m, and 1.2 m. If 0.25 m³ of waste is added to it every day, how many days will it be filled?
- Joanne 2
Joanne bought five fish. To have enough space, fish must have at least 30 liters of water. You know that the length is 5 dm and the width is 3 dm. Calculate the minimum height of the aquarium.
- Cube
The cube weighs 11 kg. How weigh is a cube of the same material if its dimensions are 3-times smaller?
- Spherical 21373
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim?
- Contain 19203
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain?
- 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)
- Dimensions 3073
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?
- 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?
- 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.
- Cuboid-shaped 19063
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm?
- Cylinder-shaped 18283
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters)
- Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm?
- Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up?
- Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
- The largest 4
The largest room in the quarantine area is 45 m long and 30 m wide. The height of the room is 15 m. If the occupancy guidelines recommend at least five m³ per person, what is the maximum number of people allowed in the room?
- Millimeters 25051
The juice is sold in cans with a radius of 30 mm and a height of 11 cm. There are 0.25 liters of juice in the cans. How many millimeters below the can lid is the level?
- Decimetres 6341
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?
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