Worksheets of area units conversion
Conversions of an area unit in word problems
- Calculate 423
Calculate the volume and surface area of a cylinder with a height of 40 dm and a base diameter of 3 m. - Box
A paper box is in the shape of a cube. 2,400 cm² of paper was used to make it (not including folds for gluing the walls). Calculate the volume of the box. - Chord 24
A chord of length t = r√2 divides a circle with radius r into two circular segments. What is the ratio of the areas of these two segments? - The chord - angle
The distance of the chord from the center is 6 cm. The central angle is 60°. Calculate the area of the circular segment. - Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²? - Circular segment
A circular segment has an area of 6.04 cm², the central omega angle is 15 degrees, what is the radius? - Paper
The drawing paper has dimensions 220 mm and 308 mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares. - Table tablecloth material
The table top is 1.2 m long, 55 cm wide, and 35 mm thick. Calculate how many regular meters of a 1 m wide roll are needed for a tablecloth that extends 15 cm beyond the bottom edge of the table on all sides. - An isosceles trapezoid
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Bathroom tile count
How many tiles are needed to cover the bathroom floor, which has the shape of a rectangle measuring 4 m and 25 dm? The tiles are square with dimensions of 10 cm. - Building plot house
The building plot has a shape with dimensions of 28 m and 34 m. Mr. Black built a house on it with 920 cm and 1250 cm dimensions. Calculate the area of the plot. How much of the plot does the house occupy? How many square meters of land does Mr. Black hav - Side deviation
A frustum has base radii r₁ and r₂ where r₁ > r₂, r₂ = s, and the slant side makes an angle of 60° with the base plane. Express the surface area and volume of the frustum in terms of its slant height s. - Cone roof consumption
The roof of a tower has the shape of a lateral surface of a cone with a base diameter of 4.3 m. The angle between the slant side and the base plane is 36°. Calculate the amount of sheet metal needed to cover the roof, allowing 8% for waste. - Bucket plastic material
The plastic bucket has the shape of a cylinder with a diameter of 25 cm and a height of 40 cm. How many square centimeters are needed to produce it? How many liters does it contain when filled 5 cm below the rim? - Hypotenuse and center
Point S is the center of the hypotenuse AB of the right triangle ABC. Calculate the area of triangle ABC if the line on the hypotenuse is 0.2 dm long and if angle ∢ACS is 30°.
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