Area Conversion Word Problems - page 10 of 37
Number of problems found: 734
- Flower box
A wooden flower box in the shape of a cuboid has the following external dimensions: length 120 cm, width 15 cm, and height 20 cm. It is made of wooden boards 1.5 cm thick. a) What is the minimum area of boards needed to make it? Calculate based on the ext - The heights
The heights of some dogs are shown in the table. (1 cm = 10 mm) Dog; Height Sam ; 280 mm Charlie; 56 cm Gus; 81,3 cm Buster; 635 mm Max; 38 cm Duke; 61 cm Which list shows the heights of the dogs from tallest to shortest? A. Max, Charlie, Duke, Gus, Sam, - Pyramid stone weight
The largest Egyptian pyramid has the shape of a regular four-sided pyramid with a base edge of approximately 227 meters and a height of about 140 meters. How many tons of stone did the workers transport to build it? One cube of stone weighs 2500 kg and ne - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Monument weight
A granite monument in the shape of a pyramid with a rectangular base will be placed in the city park. The base dimensions are 60 cm and 110 cm, and the pyramid height is 220 cm. The density of granite is approximately 2800 kg/m³. Calculate the weight of t - Lawn roller
The lawn at the family house has an area of 3a. The family owns a 1.5 m wide garden roller, which is 1 m in diameter. How many times does the roller turn when rolling the whole lawn? - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - The roof The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste.
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base. - Liliana's
Liliana's living room measures exactly 202.5 square feet. How many square yards is Liliana's living room? - Concrete ring
The concrete ring (used for reinforcement in wells) has an inner diameter of 800 mm and an outer diameter of 900 mm. It is made of concrete with a density of 2,500 kg/m³. Its height is 1 m. Calculate its mass. - Radiators
Calculate the radiator output if it has a thermal gradient (difference between inlet water and return temperatures) a) 5 °C b) 10 °C c) 15 °C d) 20 °C A heating water volume flow is 45 kg/h. How fast the water flows from the supply pipe to the radiator e) - Barrel shell
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Locomotive pressure
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on it, and each wheel has a contact area of 4 cm²? - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Atmospheric pressure
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - Cube-shaped box
The cube-shaped box is filled to the brim with 2 liters of milk. Calculate the box's edge and surface area. - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrilateral pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Truncated pyramid
Find the volume of a regular 4-sided truncated pyramid if a1 = 14 cm, a2 = 8 cm, and the angle that the side wall with the base is 42 degrees.
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