Geometry - math word problems - page 60 of 162
Number of problems found: 3234
- 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? - 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. - The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. - Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. - Truncated cone and sphere
A sphere is inscribed in a truncated cone with base diameters D1=10 cm and D2=20 cm, touching both bases and the surface. What is its diameter? - Trapezoidal 24731
Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume. - Iron rod
What is the mass of a cylindrical iron rod with a length a = 9 m and a diameter d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms, and round to the nearest whole number. - Reservoir - water tank
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many hectoliters (hl) of water can it hold? b) How many kg of paint is needed to paint the reservoir if it is painted three times and one kg of paint is enough to paint about 9 m²? - Wooden box
The block-shaped box was placed on the ground, leaving a rectangular print with 3 m and 2 m. When flipped over to another wall, a print with dimensions of 0.5 m and 3 m remained in the sand. What is the volume of the wooden box? - 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. - Tank 28
The tank is shaped like a cuboid. The bottom is rectangular, one side of the rectangle is 40cm long, and the diagonal of this rectangle is 50cm. The height of the tank is 1.5m. We start filling the tank with water at a rate of 1 liter per second. No water - 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? - 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? - 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? - 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
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