Area of a shape Conversion Word Problems - page 22 of 32
Number of problems found: 639
- Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - Metal sheet
The box has the shape of a cube with an edge length of 50 cm. How much m² of sheet metal is needed to beat a box if we add 20% on the folds of the lid and walls? - Water tank
A cuboid-shaped water tank has a base measuring 7.5 metres by 3 metres. How high will the water reach if 10 litres of water flow in per second and the inlet is open for 5/6 of an hour? (Round the result to one decimal place and express it in metres.) - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Copper wire meters
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9 g/cm³? - Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane. - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Cistern water calculation
The cistern of the public water supply has a cube-shaped interior. The edge of this cube is 5 m long. a) How much water is in the reservoir when it is completely filled? (Express this volume in m³ and hectoliters. ) b) How high does the water reach in the - Steel tube
The steel tube has an inner diameter of 4 cm and an outer diameter of 4.8 cm. The density of the steel is 7800 kg/m³. Calculate its length if it weighs 15 kg. - Body surfaces
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7 cm and 9 cm, the height of the base 4 cm, and the height of the prism 15 cm. Find the surfaces of both bodies. - Iron density
Calculate the weight of a 2 m long rail pipe with an internal diameter of 10 cm and a wall thickness of 3 mm. The iron density is p = 7.8 g/cm³. - Block-shaped tank
The block-shaped tank has dimensions of 320 cm, 50 cm, and 180 cm. 1. How much water can fit in it? 2. It was 45% filled. How much water was in it? - Pool
Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water does Mr - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number. - Column brick prism
The 4 m high column is a prism with a rhombus figure with an edge 80 cm long and a corresponding height of 70 cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - Quadrilateral prism
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the space diagonal makes an angle of 66° with the base. - Aquarium depth capacity
The aquarium is 0.7 m long and 25 cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this. - Pool water space
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Aluminum cylinder
The aluminum cylinder weighs 1400 g and is 26 cm high. Its density is 2700 kg/m³. Calculate the base area of the cylinder and express the result in cm². - Snow wall
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall?
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