Right triangle practice problems - page 57 of 84
Number of problems found: 1671
- Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder.
- Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.
- Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
- Cube wall
The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- 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.
- Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area.
- 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
- Cross-section 17871
The road embankment has a cross-section of an isosceles trapezoid with bases 16 m and 10 m long and with arms 5 m long. How many cubic meters of soil is in the 400 meters long dam?
- The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid.
- Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
- Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm.
- Airplane
Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high does he fly?
- Points on circle
The Cartesian coordinate system with the origin O is a sketched circle k /center O; radius r=2 cm/. Write all the points that lie on a circle k and whose coordinates are integers. Write all the points on the circle I with center O and radius r=5 cm, whose
- Staircase 81963
How long is the staircase railing with 17 steps if the step is 32 cm deep and 14.5 cm high? The last step does not count.
- The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard?
- Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the diagonals are perpendicular to each other.
- Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters.
- Kite
John a kite, which is diamond-shaped. Its diagonals are 60 cm long and 90 cm long. Calculate: a) the diamond side b) how much paper does John need to make a kite if he needs paper on both sides and needs 5% of the paper for bending?
- Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
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