Area - math word problems - page 13 of 161
Number of problems found: 3206
- Lampshade 3
A lampshade has the shape of a lateral surface of a cone with a slant height of 32 cm and a base diameter of 46 cm. Calculate the paper needed for its production, assuming 6% waste. - Arbor
Calculate in square metres the area of an arbour whose ground plan is in the shape of a regular hexagon with a side length of 4.5 m. - Vegetables - plot
The Happy family has a garden measuring 8 m × 3 m with vegetables planted in it. Peppers occupy 1/12 of the garden, tomatoes occupy 1/8, and strawberries occupy 1/6. They decided to plant sweet potatoes in the remaining area. What fraction of the garden i - Regular 4BH
A regular quadrilateral prism has a volume of 864 cm³ and its total surface area is twice the area of its base. Determine the length of its space diagonal. - In a right triangle 13
The altitude to the hypotenuse of a right triangle is 4.8 cm. The two segments of the hypotenuse are in the ratio 4:3. Calculate the perimeter and area of the triangle. - 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? - Advertising column
An advertising column has the shape of a triangular prism. The height of the prism is 3.5 metres, and the lengths of the base edges are 1.1 m, 2 m, and 2 m. The lateral surface of the prism forms the advertising space. The town pays 35,000 CZK for its pro - Tin sheet
How much sheet metal is needed for a box in the shape of a triangular prism with a base edge of 20 cm, base height of 15 cm, and prism height of 30 cm? An additional 10% of sheet metal is needed for joins. - On the circular 3
On the circular lid of a salt shaker with a diameter of 4.5 cm, there are two types of holes. On the left is a semicircular hole with a diameter of 2.4 cm; on the right are five small circular holes each with a diameter of 3 mm. Determine the ratio of the - 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. - Cylindrical column
What is the mass of a reinforced concrete cylindrical column with a radius of 30 cm and a height of 4.5 m if the density of reinforced concrete is 2400 kg/m³? Round the result to whole kilograms. - Turbine
A turbine in a small hydroelectric power plant requires a minimum supply of 9600 liters of water every second to function. A supply channel with a rectangular cross-section leads to the power plant, in which water flows at a speed of 10 m/s. The width of - Dimensions - rectangle
One side of the rectangle is 12 cm longer than the other. If we reduce each dimension by a third, the area of the rectangle will be reduced by 60 cm². Determine the dimensions of the rectangle. - Sheet metal troughs
A farmer orders sheet metal troughs from a tinsmith for watering calves on pasture. The tinsmith looks at a drawing of the trough and estimates how much sheet metal will be needed for one trough. Determine the sheet metal consumption, adding 15% for waste - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston?
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