Square practice problems - page 79 of 151
Number of problems found: 3015
- Tank
In the middle of a cylindrical tank with a bottom diameter of 479 cm, there is a standing rod 34 cm above the water surface. If we bank the rod, its end reaches the water's surface just by the tank wall. How deep is the tank? - Sandpile
Sand was piled into an approximately conical shape. Workers wanted to determine the volume (amount of sand) and measured the circumference of the base and the total length of both slant sides of the cone. What is the volume of the sand cone if the circumf - Square circle length
Calculate the length of the circle, which is surrounded by a square with a side length of 3 cm - Round tablecloth area
We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of the round tabletop? - The concrete basement
The concrete base has a square base a = 90 cm and is 0.2 m high. How many kg of concrete did we use to build it if the concrete density is ρ=2200 kg/m³? - The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - Pool painting cost
A square-shaped pool with bottom dimensions of 7 m * 4 m and a height of 1.2 m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m². - Cube from sphere
What is the largest surface area (in cm²) that a cube cut from a sphere with a radius of 26 cm can have? - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Carpet area
How many meters of carpet 3 meters wide are needed to cover a square floor with a area of 36 square meters? - Room flooring area
How many m² of flooring is needed in a rectangular room measuring 3.5 m and 4.5 m? - Dimensions - rectangle.
Find at least six different dimensions (in meters) of a rectangle with a capacity of 20 m². - Garden plot
Calculate how many metres of fencing are needed to enclose a square garden with sides of 12 metres. - Garden rain calculation
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily? - Cylinder painting cost
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165? - Right-angled triangle
The right-angled triangle XYZ is similar to the triangle ABC, which has a right angle at the vertex X. The following applies: side a = 9 cm, x=4 cm, x = v-4 (v = height of triangle ABC). Calculate the unknown side lengths of both triangles. - Airplane navigation
An airplane leaves an airport and flies west 120 miles and then 150 miles in the direction S 35.95°W. How far is the plane from the airport (round to the nearest mile)? - Room paint usage
How many kg of paint will we use to paint the walls and ceiling of a room with a length of 9 m, a width of 6 m, and a height of 3.2 m if 1 kg of paint is enough for approximately 6 m²? Subtract 6 square meters from the surface of the walls, which are the - Cube edges length
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube. - Aluminum cylinder
The aluminum cylinder weighs 1400 g and is 26 cm high. Its density is 2700 kg/m³. Calculate the base area of the cylinder and express the result in cm².
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