Solid geometry, stereometry - page 86 of 117
Number of problems found: 2330
- A Pile of salt
A Pile of salt has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What area of the conical tarpaulin (a large sheet of material) is needed to cover the pile?
- Calculate cone - r,h
A rotation cone with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume.
- Cone area and side
Calculate a rotating cone's surface area and volume with a height of 1.25 dm and 17,8dm side.
- Cuboid-shaped 27421
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water?
- Cube-shaped 67884
The cube-shaped drawer has an area of 405 dm square. Calculate the volume of this drawer.
- Determine 2684
Find the length of the edge of a cube if its surface is 1296.5 cm².
- Quadrilateral 8060
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies.
- Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes?
- The cube
The surface of the cube is 150 square centimeters. Calculate: a- the area of its walls b - the length of its edges c - its volume
- Volume from surface area
What is the volume of the cube whose surface area is 96 cm²?
- Cube
The sum of lengths of cube edges is 56 cm. What are its surface and volume?
- What is bigger?
Which ball has a larger volume: a football with a circumference of 66 cm or a volleyball with a diameter of 20 cm?
- Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³?
- Sugar cubes
The glass holds 600 ml of tea, which represents 80% of its volume. If twenty regular sugar cubes of 2 cm are poured into the tea, how many ml of tea are poured?
- Tanks
The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl. How many barrels would have been used if the water level in the tank
- Cube - surface and volume
How many times does the volume of a cube increase if its surface increases four times?
- A cuboid 2
A cuboid with a depth of 4 cm but a length and width of x cm is cut out from one corner of the original cuboid as shown (the original cuboid has dimensions of 10x8x4 cm). The remaining shape has a volume of 199 cm³. Calculate the value of x.
- Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm.
- Wrapping 36303
How much will we pay for wrapping 5 boxes in the shape of a cube with a side length of 80 cm if we count on a margin of 35% for folds? The price for 1 square meter of paper is €2.55. You can only buy whole square meters.
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