Square practice problems - page 57 of 145
Number of problems found: 2898
- The factory
The factory ordered 500 hexagonal steel bars in square sections with 25 mm sides. Suppose the steel density is 7,850 kg. m-3, how many cars with a load capacity of 3 tonnes will be needed to move the bars? - Difference 82461
Determine the difference in angular velocities of the clock hands. [rad/s] ω of clock hands =? ω minute hands =? ω second hands =? - Everything 3536
The cabinet for storing garden tools is shaped like a cube with an edge length of 2 m. How many m² of paint will we need to paint this cabinet if we paint everything except the bottom base? How much will it cost to paint a cabinet if one can of paint for - Block-shaped 26041
In the block-shaped room, the floor has dimensions of 4 m and 3.5 m. The volume of this room is 35 m³. How much will it cost to paint this room if we pay €1.2 for 1 m² of paint (remember that we will not paint the floor)? - Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if - Flowerbed 22573
Around a round flowerbed with a diameter of 6m should be made a sidewalk with a width of 0.5m. How many square meters of material do we need? - Calculate 6930
Calculate the diameter of a circle whose area S = 78.5 cm².
- One-third 2872
The cycling racetrack has the shape of a circle with an area of 2 ha. How long will a cyclist drive one-third of a kilometer in a perimeter? - Circle
How big is the area of a circle if its circumference is 51.2 cm? - Hectoliters - reservoir
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Determine 23
Determine in cm² the area of the rectangle ABCD, whose longer side a=20cm and whose diagonal is 10cm longer than its shorter side. - Rectangular 82803
A rectangular flower bed, one side formed by a wall, must be fenced off with 8-meter-long mesh. What should the flower bed length be so the area is as large as possible? - Length 4109
The gym is 16 m wide and has an area of 384 m². Find its length. - A rectangular 4
A rectangular garden has a length of 57 m and a width of 42 m. Calculate how much m² will decrease the garden area if the ornamental fence width of 60 cm is planted inside its perimeter. - Rectangles - integers
How many different rectangles with integer side lengths have an area S = 60 cm²?
- Two 2D shapes
Decide which shapes have more area: (a) a square of 8cm side, or (b) two rectangles with sides of 5cm and 15cm? Write the result as 1 or 2 (rectangles) - Sphere-shaped 20723 The sphere-shaped reservoir has a volume of 282 hl. Calculate the material consumption in m² for its production, assuming 8% for joints and waste, and round the final result to the nearest total.
- The observatory
The dome of the hemisphere-shaped observatory is 5.4 meters high. How many square meters of sheet metal need to be covered to cover it, and must we add 15 percent to the minimum amount due to joints and waste? - Perimeter of the circle
Calculate the perimeter of the circle in dm, whose radius equals the side of the square containing 0.49 dm². - Logs
The log has a diameter of 30 cm. What largest beam with a rectangular cross-section can be carved from it?
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