Triangle practice problems - page 92 of 126
Number of problems found: 2520
- Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm. - Cylinder in a Cube
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. - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long. - Task
I have homework. The cube's edge is 14 cm long, and I must find the diagonal between the wall and the body. - Bed 10
A bed in the shape of two equilateral triangles sharing a common side, with a side length of 2.5 m, is to be planted with seedlings of an ornamental shrub. The gardener recommended leaving 40 cm between individual seedlings and 10 cm from the perimeter ed - Three plane objects
How can we calculate the perimeter of a triangle, square, and rectangle? - Trapezoid plot fence
The plot of land for constructing family houses is shaped like a rectangular trapezoid with bases of 21 m and 11.2 m. For CZK 2,500 per square meter, the value of the land is calculated at CZK 1,352,400. What would be the length of wire mesh needed to fen - One trapezium
One trapezium has AB=24M, BC=36M, CD=80M, DA=80M long sides. Find the area. - Parallelogram perimeter
Triangle ABC has sides a = 5 cm, b = 3 cm, and c = 40 mm. K, L, and M are the midpoints of its sides. What is the perimeter of parallelogram KBLM in centimeters? - Kite
John has a kite, which is diamond-shaped (rhombus). 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? - Right triangle prism
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. - In plane 2
Triangle ABC lies in the plane with a right angle at vertex C, where A(1, 2), B(5, 2), C(x, x+1), and x > −1. a) Determine the value of x. b) Determine the coordinates of point M, the midpoint of segment AB. c) Prove that vectors AB and CM are perpendi - 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. - Parallelogram - area
Calculate the area of the parallelogram if a = 57 cm, the diagonal u = 66 cm, and the angle against the diagonal is beta β = 57°43' - Motion on circle
The bend has a radius of r = 100 m and is inclined at an angle of 20° to the horizontal plane (= tilt angle). What is the safe (the "best") speed to go through this curve? Sketch the picture regarding NIVS, mark the forces, and calculate. - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Prism volume surface
Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm. - 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? - Pyramid surface
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area.
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