Right triangle + square - practice problems - page 14 of 32
Number of problems found: 636
- Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. Calculate how much m² of coverage is needed to cover it if we add one-third to the overlap. - Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - Triangular pyramid
Calculate a regular triangular pyramid's volume and surface area with a height equal to the base edge 10 cm long. - Forces
In point, O acts three orthogonal forces: F1 = 20 N, F2 = 7 N, and F3 = 19 N. Determine the resultant of F and the angles between F and forces F1, F2, and F3.
- Cross-section 5567
What diameter must the trunk of a tree have to carve a beam with a square cross-section of 20 cm on it? - In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? - Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck. - Rectangle 79084
A rectangle whose one side measures 35m and the other is 7m shorter than the diagonal of the rectangle. Calculate the content in m². - Rectangular 63094
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long.
- Dimensions 39623
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve. - ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Calculate 5499
Calculate the area of the circle, which is described by a square with a side length of 7.5 cm. - Right-angled 81359
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9cm and 15cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Storm and roof
The roof of the building is a cone with a height of 3 meters and a radius equal to half the height of the roof. How many m² of the roof need to be repaired if 20% were damaged in a storm?
- Perpendiculars 64574
Calculate the circle radius circumscribed by a right triangle whose perpendiculars are 10 cm and 24 cm long. - Perpendicular 82473
In the right triangle KLM, the hypotenuse l = 9 cm and the perpendicular k = 6 cm. Calculate the size of the height vl and the line tk. - Respectively 80982
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - Surface area of the top
A cylinder is three times as high as it is wide. The length of the cylinder diagonal is 20 cm. Find the exact surface area of the top of the cylinder. - Roof 7
The roof is a regular quadrangular pyramid with a base edge of 12 m, and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4m² of the plate was?
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