Triangle - practice for 14 year olds - page 30 of 67
Number of problems found: 1335
- The volume
The volume of the cone is 94.2 dm³, and the radius of the base is 6 dm. Calculate the surface of the cone. - Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals. - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm. - Center
Calculate the coordinates of the center of gravity T [x, y] of triangle ABC; A[-17,9] B[-26,-19] C[-7,7]. - Observation tower
The observation tower has a height of 105 m above sea level. The ship is aimed at a depth angle of 1° 49' from the tower. How far is the ship from the base of the tower? - Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm. - Observer's 82805
An airliner currently flying over a location 2,400 m away from the observer's location is seen at an elevation angle of 26° 20'. At what height does the plane fly? - Telegraph poles
The bases of two adjacent telegraph poles have a height difference of 10.5 m. How long do the wires connect the two poles if the slope is 39° 30’? - Construct 5868
Construct a square if u-a = 1 - The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block. - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone) - Pyramid height
Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - Centre of mass
The vertices of triangle ABC are from the line p distances 3 cm, 4 cm, and 8 cm. Calculate the distance from the center of gravity of the triangle to line p. - Bridge across the river
The width of the river is 89 m. For terrain reasons, the bridge deviates from a common perpendicular to both banks by an angle of 12° 30 '. Calculate how many meters the bridge is longer than the river. - TV tower
Calculate the height of the television tower if an observer standing 430 m from the base of the tower sees the peak at an altitude angle of 23°. - Climb in percentage
The height difference between points A and B is 475 m. Calculate the percentage of route climbing if the horizontal distance between places A and B is 7.4 km. - Cable car 2
The cable car rises at an angle of 16° and connects the upper and lower station with an altitude difference of 1082 m. How long is the track of the cable car? - Triangular 2715
Determine the volume and surface of a triangular prism with a height of 12.4 cm; the base is a right triangle with 6 cm and 8 cm.
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