Area Conversion Word Problems - page 2 of 37
Number of problems found: 734
- Bathroom 3
A bathroom measures 300 × 210 cm. What is the largest square tile size that can be used to cover the floor without cutting, and how many such tiles will be needed? - Base RR odd
The base of a prism is an isosceles trapezoid ABCD with bases AB = 12 cm and CD = 9 cm. The angle at vertex B is 48°10′. Determine the volume and surface area of the prism if its height is 35 cm. - Area 51
The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°. - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane. - Calculate
A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume. - Padded 2
How many square metres of material are needed to make 40 equilateral triangular wooden pads with sides of 30 cm and a height of 26 cm? - Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus? - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest whole number. - 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. - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 metres wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours? - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Isosceles
A flower bed has the shape of an isosceles triangle with a base of 25 m and legs of 30 m. Calculate the maximum number of flowers that can be planted in this bed, assuming each flower requires approximately 8 dm² of space. Round the result to the nearest - Decadal - flower bed
The castle park includes a flower bed in the shape of a regular decagon with an area of 432.8 m². Determine the distance between adjacent vertices of the flower bed. - 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. - Two-kilogram bread
Farmers harvested 3,000 kg of rye from one hectare, from which they obtained 2,500 kg of flour. From 3 kg of flour, 4 kg of bread can be made. Calculate how many m² of land were needed to grow the rye required for one 2-kilogram loaf of bread. - 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? - Bottom diameter
Milo poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level reach in the glass? - Calculate 5
Calculate the area and perimeter of a trapezoid with side a = 10, angle α = 40°, angle β = 50°, and side c = 3. - Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
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