Geometry - math word problems - page 62 of 162
Number of problems found: 3232
- Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place.
- Dimensions 70354
The cylinder's volume is 5l, and its height is equal to half the diameter of the base. Find the dimensions of the cylinder.
- Calculate 45991
Calculate the radius of a sphere with the same volume as a cone with a radius of 5cm and a height of 7cm.
- Diameter 21173
The water ball has a volume of 32,500 m³. How big is its diameter?
- School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³
- Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long?
- Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume.
- Cylindrical 28331
How many crowns will the paint cost to paint a cylindrical container (d = 4.2 m, h = 5.5 m) when about 5 m² of paint is painted from 1 kg of color, and 1 kg of paint costs 115 CZK?
- Quadrilateral 25201
Calculate the volume and surface of a regular quadrilateral prism with a base edge a = 46 mm and a height v = 0.67 dm.
- Cone-shaped 23331
For his birthday, Jirka made a cone-shaped hat out of paper. The side of this cone is 35cm long, and the radius of its base is 20cm. How much dm of paper did Jirka use to make it? Thank you
- Half-cylinder 9961
The cattle water feeding trough is a half-cylinder with a length of 2 m and a width of 0.8 m. How many m³ of water can be poured into the gutter? How many m² do we need to produce 25 such gutters?
- Rectangular 4547
How many hours will a tank with a rectangular bottom with a capacity of 105.5 m² and a depth of 2 m be filled when 12 hl of water flows through the pipe in one hour?
- Centimeters 65884
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?
- Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long.
- Filling the pool
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros?
- Pizza master
Master says that he can split pizza into 16 parts by five equals straight cuts. Is it possible?
- Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions.
- Spherical segment
Calculate the volume of a spherical segment 18 cm high. The diameter of the lower base is 80 cm, and the upper base is 60 cm.
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