Right triangle practice problems - page 68 of 84
Number of problems found: 1671
- N-gon II
What is the side length of the regular 9-gon circumscribed circle of radius 13 cm?
- Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³.
- Octagonal pyramid
Find the volume of a regular octagonal pyramid with height v = 100 and the angle of the side edge with the base plane is α = 60°.
- Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area.
- Determine 83081
A paper kite is shaped like a deltoid ABCD, with two shorter sides 30 cm long, two longer sides 51 cm long, and a shorter diagonal 48 cm long. Determine the sizes of the internal angles of the given deltoid.
- n-gon
What is the side length of the regular 5-gon inscribed in a circle of radius 12 cm?
- Rectangular 18993
The bases are 9 cm and 50 mm long in a rectangular trapezoid. The length of the shorter arm is 3 cm. Calculate the circuit and area.
- Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy?
- Angle of deviation
The surface of the rotating cone is 30 cm² (with a circle base), and its surface area is 20 cm². Calculate the deviation of this cone's side from the base's plane.
- Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres?
- Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7m and a height of 30dm
- Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5cm and a wall height of w = 20cm. Please sketch a picture.
- Hexagon
There is a regular hexagon ABCDEF. If the area of the triangle ABC is 10, what is the area of the hexagon ABCDEF? I do not know how to solve it simply....
- Calculate 70634
The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.
- Flowerbed
The flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be pl
- Same area
There is a given triangle. Construct a square of the same area.
- A plane vs. sphere
The intersection of a plane is 2 cm from the sphere's center, and this sphere is a circle whose radius is 6 cm. Calculate the surface area and volume of the sphere.
- The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm.
- Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
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