Area Conversion Word Problems - page 7 of 37
Number of problems found: 734
- Deviation - slope angle
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30° from the base plane. - 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. - On the plot 2
On a rectangular plot there will be a forest nursery. One side of the plot measures 12 m, the other 3 m more. a) how many metres of fencing will be needed to fence the forest nursery? b) how many seedlings will they plant if their mutual distance is 1 m a - Wooden 3
A wooden board 2.5 m long has a cross-section in the shape of a right-angled trapezoid whose parallel sides are 1.2 dm and 8 cm long. The height of the trapezoid is 3 cm. Calculate: a) the surface area of the board, to determine the amount of stain needed - Wall tile count
How many square tiles with an edge of 10 cm are needed to line a wall 2.4 m long to a height of 1.6 m? - 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. - Cube seat fabric
How much fabric will be needed to cover 12 cube-shaped seats with a 40 cm edge? - Cesspool pit excavation
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur - Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Precipitation - milimeters
The total precipitation for one day reached 22 mm. How many hectoliters of water have rained on a rectangular garden measuring 32 m and 45 m? - Vase water capacity
The cube-shaped vase contains 320 ml of water and reaches a height of 5 CM. How many milliliters of water can we pour into the vase so the water does not run out? - Cylinder water liters
How many liters will fit in a cylindrical container with a base area of 0.06 m² and a height of 5 cm? - Vase height volume
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm2, calculate its height. - 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? - Parallelogram - sides L
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - 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°. - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - Glass cylinder height
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4 dl of water. Calculate the height of the glass and its surface. - Children's room
The children's room is a square with a side of 3 m. What is the area of the room layout on a 1:50 scale plan? - Cross-section of a roof
The owner must cover the carport with a hipped roof with a rectangular cross-section of 8 m x 5 m. All roof surfaces have the same slope of 30°. Determine the price and weight of the roof if 1 m² cost €270 and weighs 43 kg.
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