Area + square (second power, quadratic) - practice problems - page 33 of 77
Number of problems found: 1530
- 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? - Hectoliters 22383
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? - Net of a cube
We can fold this net to form a cube with a side length of 20 units. What is the surface area of the cube in square units? - A map
A map with a scale of 1:5,000 shows a rectangular field with an area of 18 ha. The length of the field is three times its width. The area of the field on the map is 72 cm square. What is the actual length and width of the field?
- Carpet
How many crowns CZK do we pay for a carpet for a bedroom when 1m of square carpet costs 350 CZK, and the bedroom has dimensions of 4m and 6m? How many crowns do we pay for a strip around the carpet when 1m of the strip costs 15 CZK? - Quadrilateral 22003
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - Wallpaper
3750 cm square of wallpaper is needed to glue a cube-shaped box. Can Dad cut out the whole necessary piece of wallpaper if he has a roll of wallpaper 50 cm wide? - Tunnel boring
How much material did they dig when cutting the 400m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62m². - Rectangular land
On a rectangular land with dimensions of 35 m and 18.5 m is a house with a square floor plan with a side of 14 m. What % of the land is not occupied?
- Diameter = height
The cylinder's surface, the height of which is equal to the diameter of the base, is 4239 cm square. Calculate the cylinder volume. - Cone roof
How many m² of roofing is needed to cover a cone-shaped roof with a diameter of 10 m and a height of 4 m? Add an extra 4% to the overlays. - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Rectangle 21663
A) Divide a rectangle measuring 126 cm x 72 cm into as many squares as possible. b) Calculate the side length of these squares. - Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm.
- Magnification 21383
When we increased the circle's radius by 2 cm, its area increased by 40π cm². Determine the radius of the circle before magnification. - Rectangular 21353
The rectangular plot has an area of 480 m². One of its dimensions is 30 m. Calculate the second dimension of the plot. - Height to the base
The triangle area is 35 cm². The size of the base is 10 cm. Find the length of height to the base. - Diameter 21173
The water ball has a volume of 32,500m². How big is its diameter? - An equilateral
An equilateral triangle is inscribed in a square of side 1 unit long so that it has one common vertex with the square. What is the area of the inscribed triangle?
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