Square (second power, quadratic) + volume - practice problems - page 6 of 26
Number of problems found: 504
- Shell area cy
The cylinder has a shell area of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. - Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm. - Expression 82698
Calculate the value of the expression V = 3x²- 2x + 3 for x = -2. - Calculate 71324
Calculate the volume of a cube with a surface area of 1,795.74 cm2 - Difference 66354
A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle. - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Hexagonal 29141
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m. - Quadrilateral 24541
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm. - Quadrilateral 6353
Given is a regular quadrilateral pyramid with a figure of a square. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V. - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Cube surfce2volume
Calculate the volume of the cube if its surface is 150 cm². - 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. - 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. - Length of the edge
Find the length of the edge of a cube with a cm² surface and a volume in cm³ expressed by the same number. - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - The aquarium
The aquarium has a capacity of 18 liters. What is its height when the square bottom is 28 2/3 cm long? - Density of the concrete
Find the density of the concrete of the cuboid-shaped column that has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg. - Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
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