Square practice problems - page 117 of 153
Number of problems found: 3052
- Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - Cube - angles
Calculate the angle alpha (α) between the face diagonal and the base of a cube. Calculate the angle beta (β) between the space diagonal and the base of the cube. - Billboards
An advertising panel has the shape of a cylinder. The circumference of the base is 10 m, the height of the cylinder is 4 m. a) How many CZK per year will we pay to rent the lateral surface of the cylinder, if 1 m² of advertising space costs 1,500 CZK per - Trapezoid height angle
In the isosceles trapezoid ABCD, its bases AB = 20 cm, CD = 12 cm and arms AD = BC = 8 cm 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 space diagonals. - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and space diagonal. - Cube measurements
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid. - Concrete block
Determine the volume of the concrete block whose one edge of the base is 3 meters long, the body diagonal is 13 meters, and the height is 12 meters. - Triangular prism
Determine the volume and surface of a 9 cm high triangular prism if its base is an equilateral triangle with an 8 cm side. - Painting
The room is 50 meters long, wide 60 dm, and 300 cm high. Calculate how much it will cost to paint if the area of windows and doors is 15% of the total area. One square meter costs 50 cents. - Garden G
The rectangular, trapezoidal garden has a base length of 81 m, 76 m, and a vertical arm of 12 m. Calculate how many m² of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - Trapezoid RT
The plot is a rectangular trapezium ABCD, where ABIICD has a right angle at the vertex B side and AB has a length of 36 m. The lengths of the sides AB and BC are in the ratio 12:7. The lengths of the sides AB and CD are in the ratio 3:2. Calculate the con - Pagans
Elena cut out the same circle-shaped pagans and put them on a rectangular sheet so that the neighboring pagans were touching each other and the pagans were touching the walls of the sheet on the edges. Each pagan occupied 28.26 cm² of the bottom of the sh - Regular 4-sided pyramid
Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m. - Square ABCD
Construct a square ABCD with center S [3,2] and the side a = 4 cm. Point A lies on the x-axis. Construct a square image in the displacement given by oriented segment SS'; S` [-1 - 4]. - Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - 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
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