Area Conversion Word Problems - page 36 of 37
Number of problems found: 734
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material. - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan? - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Windows
Calculate the area of masonry needed to build a wall measuring 18 m × 5 m that has 3 windows each measuring 51 cm × 51 cm. - Area 4gon
Calculate the area of a parallelogram with two pairs of equal parallel sides of lengths 18 and 9, and interior angles of 45°, 135°,45°, 135°. - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Rail turn
The curve radius on a railway line is 532 m. The length of the rail track along this curve is 818 m. What is the angle ASB in degrees, where A and B are the endpoints of the curve and S is the centre of the arc? - Triangle
Calculate the area of right triangle ΔABC if one leg has length 12 and the angle opposite to it is 47°. - Map
A forest has an area of 77 ha. What area does it occupy on a map at scale 1:10000? - Area
Calculate: x = 8 m² + 8 dm² + 8 cm² - Sphere
A sphere has a surface area of 21000 cm² and a mass of 73.2 kg. What is its density? - Garden
How many steps of 64 cm each are needed to walk around the perimeter of a square garden with an area of 1.5 ha? - Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare? - Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm. - Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm. - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - Aquarium II
Calculate how much glass is needed to build a rectangular aquarium with a base of 65 cm × 52 cm and a height of 74 cm, assuming 2% waste. The aquarium has no top. - Forest nursery
In a forest nursery, one borovice is planted per 2 m². Calculate how many plants are planted on an area of 510 hectares.
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