Area + square (second power, quadratic) - practice problems - page 23 of 77
Number of problems found: 1531
- Dimensions 44081
In the form of a pyramid on the house with a square floor plan, the roof has dimensions of 12 x 12 m, with a height of 2 m at the highest point. How much roofing do I need to buy? Count on a 10% reserve. - The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - Trapezoidal 43931
How many trees are planted in a trapezoidal park with bases of 35.7m, 13.3m, arms of 20m and 22m, and a height of 19 m if one tree needs nine m²? - Reservoir 43821
The reservoir has the shape of a sphere with a diameter of 14 m. a) How many 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?
- The kitchen
The kitchen has the shape of a square with a side of 5 m. We place linoleum on the floor, the price of which is 450 CZK per 1 m². The glue costs 750 CZK. How much do we pay in total? - Cans
How many m² of metal sheet is needed to produce 20,000 cans in the shape of a cylinder with a base radius and a height of 5 cm? - Substitutes 43471
What pressure will the falling snow exert on the roof of the house? The weight of snow on the entire roof is 150 kg. The area of the lookout, covered with snow, is 10 m². - Don't forget the notation; the formula then substitutes the result. - Calculation 43211
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 - Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid.
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base. - Liliana's
Liliana's living room measures exactly 202.5 square feet. How many square yards is Liliana's living room? - Quadrilateral 41061
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid. - Intersection 40981
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere. - The length 2
The length of a rectangle is 12y² – 15y + 8, and the width is 7y – 11. Find the area of the rectangle.
- Surface 40621
The surface of the sphere is 535 m². What is its volume? - Barrel-shaped 40601
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first. - Locomotive 40441
What is the pressure on the tracks when a 10-ton locomotive with eight wheels stands on them, and each wheel has a contact area of 4 cm²? - Circumference 40401
Calculate the diameter of a circle whose area in cm² and the circumference in cm are expressed by the same number. - Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4?
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