Square practice problems - page 75 of 153
Number of problems found: 3053
- Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectolitres of water. How many square metres of sheet metal are needed to make it, if 2% extra is added for joints and waste? - Calculation - hemisphere
The roof is shaped like a hemisphere with a diameter of 8 m. Calculate how much m² of roofing is needed to cover the entire top if we count 15% for waste and residues and round the result to tenths of m². Use the constant pi rounded to two decimal places - 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? - Material consumption
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 integers. - Basement 3
A new family house under construction is to have a basement. The floor, walls, and ceiling of the basement are to be covered with an asphalt insulating layer. The ground plan of the family house has dimensions of 10 m and 12 m. The height of the basement, - Paint needed
The janitor is to paint the computer room walls, which are 7 m long, 5 m wide and 3 m high. The classroom has four square windows with a length of 1 m and a door 1 m wide and 2 m high. At least how many kilograms of paint should he buy if 1 kg of paint pa - Filling the pool
How many liters of water must be poured into a pool 25 m long, 800 cm wide, and 20 m 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? - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Bricks pyramid
How many 50 cm x 32 cm x 30 cm bricks are needed to build a 272 m x 272 m x 278 m pyramid? - Line coefficient determination
In the equation of the line p: ax-2y+1=0, determine the coefficient a so that the line p: a) it formed an angle of 120° with the positive direction of the x-axis, b) passed through point A[3,-2], c) was parallel to the x-axis, d) had a direction of k = 4. - Equilateral triangle ABC
In the equilateral triangle ABC, K is the center of the AB side, the L point lies on one-third of the BC side near point C, and point M lies on one-third of the side of the AC side closer to point A. Find what part of the ABC triangle contains the triangl - Circumference of a circle
Calculate the area of a circle if its circumference is 21.98 dm. Express the result in square decimetres. - Radius
Find the radius of the circle with area S = 200 cm². - Circle - simple
Calculate the area of a circle in dm² if its circumference is 31.4 cm. - Square and circle
Into the square is an inscribed circle with a diameter of 10 cm. What is the difference between a circumference square and a circle? - Decorations - spherical
The glass Christmas decorations have the shape of a ball with a diameter of 8 cm. In a small family business, they produce 50,000 pieces a year. The entire surface of these balls is covered with glitter. 400 g of glitter is needed to cover an area of 1 m² - Tank paint cans
The cuboid-shaped sheet metal tank with dimensions a=25 dm, b=5.6 m, and c=180 cm will be painted from the outside. How many cans of paint do we need to buy, and how many CZK crowns will we pay? One costs CZK 204, and it is enough to paint 8.5 m². - Cube-shaped container
The cube-shaped container has a height of 52 cm and a square base. The container was filled to the brim with water, and then we immersed a metal cube in it, which caused 2.7 l of water to flow out of the container. After removing the cube from the water, - Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How much dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the roof's weight if it is made of wood - House Insulation Cost
The Drapers inherited a cube-shaped house from their grandmother, which occupied 121 m² of land. They want to insulate the perimeter walls. How many euros will they pay for the material if 1 m² of material costs 11 euros and 15% of the facade area consist
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