Area + square (second power, quadratic) - practice problems - page 22 of 77
Number of problems found: 1523
- Defensive 45341
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall? - Perimeter 45121
The diamond has an area of 36.9 cm² and a side length of 9 cm. a) How many cm does the height of the diamond measure? b) Calculate the perimeter of the diamond. - Two gardens
The flower garden has a square shape. The new garden has a rectangular shape; one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original and new garden dimensions if both gardens' areas were the same? - Block-shaped 44771
How much m² of paper do we save if we do not glue one-third of the total area of the block-shaped billboard area with dimensions of 0.6 m, 0.7 m, and 1.4 m? - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Create 44531
We make a box in the shape of a cube with an edge of 12 cm. How many cm² of sheet metal do we need to create a box if we do not make the lid? - Diameter 44511
The tower's roof has the shape of a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover? - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base. - Quadrilateral 44471
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height. - A Cartesian framework
1. In a Cartesian framework, the functions f and g we know that: The function (f) is defined by f (x) = 2x², the function (g) is defined by g (x) = x + 3, the point (O) is the origin of the reference, and point (C) is the point of intersection of the grap - The rectangle
The rectangle has one side 8 cm smaller than the type. If you reduce the length by 6 cm and increase the width by 2 cm, you will get a square whose area is 400 cm². What are the original dimensions of the rectangle? - Perimeter 44281
We used 30 m² of floor covering for the floor in the 12 m long corridor. How many m of perimeter rail do we need if we put it on all sides? - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof, if the perimeter of its base is 15.7m and a height of 30dm - Height and base
An isosceles triangle has an area of 168 cm², and its added height and base are 370 cm. What are the measurements of its height and base? - 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?
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