Square practice problems - page 116 of 150
Number of problems found: 3000
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm. - Quadrangular pyramid
The decorative object has a quadrangular pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height. - Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Snow wall
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? - Cone surface radius
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Bar volume triangle
The 5 m long bar has a cross-section of an equilateral triangle with a side of 35 mm. Calculate its volume - Cone volume surface
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone. - Trapezoid height angle
In the isosceles trapezoid ABCD, its bases AB = 20cm, CD = 12cm and arms AD = BC = 8cm are given. Specify its height and alpha angle at vertex A - Cube small diagonal
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Cone surface volume
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume. - Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. - Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone. - Cube - angles
Calculate the angle alpha (α) between the wall diagonal and cube base. Calculate the angle beta (β) between the cube body diagonal and the cube base. - Triangular prism volume
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Block wall diagonal
A block with dimensions a = 15cm b = 5cm and a block height c = 8cm. Calculate the length of the wall diagonal in the base.
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