Area of a shape Conversion Word Problems - page 27 of 32
Number of problems found: 639
- Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Hemisphere - roof
The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner are used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint - Triangular prism
Calculate a triangular prism if it has a rectangular triangle base with a = 4 cm and hypotenuse c = 50 mm, and the height of the prism is 0.12 dm. - Sand path
How much m³ of sand is needed to fill the 1.5 m wide path around a rectangular flowerbed of 8 m and 14 m if the sand layer is 6 cm high? - Aquarium area
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Ditch excavation
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Tray
If the water level in the tray shaped as a cuboid is 420 liters and the bottom dimensions are 120 cm and 70 cm, what height reaches the water level? - Cuboid cone volume
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - The circumference 3
The circumference of a cylindrical water tank is 62.8 m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank. - 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. - Pool water height
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it? - Barrel and buckets
The barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height? - Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2 - Metal barrel
A barrel for transporting fuel has a height of 90 cm and a radius of the base of 30 cm. How many square meters of sheet metal are needed to make a barrel? - Pool Water Height Volume
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters. - Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain? - Prism
Calculate the height of a prism with a total surface area of 448.88 dm² and a square base with a side of 6.2 dm. What is its volume in hectolitres? - Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m. - Prism volume
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2 cm. The height of the body is 0.3 dm. - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
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