Triangle practice problems - page 78 of 125
Number of problems found: 2483
- Consumption 4259
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent?
- 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.
- Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid.
- Pilot
How high can the airplane's pilot see 0.001 of Earth's surface?
- Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long.
- RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=26.
- Rectangle ABCD
The rectangle ABCD is given whose | AB | = 5 cm, | AC | = 8 cm, ∢ | CAB | = 30°. How long is the other side, and what is its area?
- Four-sided 5917
Mr. Radomír had a misfortune during the last storm; a tree fell on his roof in the shape of a regular four-sided pyramid and destroyed it all. The roof has a base edge length of 8m and a side edge length of 15m. How many m² of roofing will he have to buy?
- Find diagonal
Find the diagonal length of a cuboid with length=20m, width=25m, and height=150m.
- A trapezoid
A trapezoid with a base length of a = 36.6 cm, with angles α = 60°, β = 48°, and the height of the trapezoid is 20 cm. Calculate the lengths of the other sides of the trapezoid.
- Calculate 82144
Calculate the height of side b (v_b) of triangle ABC with vertices A[4;1;3] B[2;3;3] and C[1;1;3].
- 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)
- The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
- Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room?
- Trapezoid 25
Trapezoid PART with AR||PT has (angle P=x) and (angle A=2x) . In addition, PA = AR = RT = s. Find the length of the median of Trapezoid PART in terms of s.
- North + west
Find the magnitude of the resultant of the given vectors: vector 1:2 m/s, north vector 2:7 m/s, west
- Big Earth
What percentage of the Earth's surface is seen by an astronaut from a height of h = 350 km? Take the Earth as a sphere with a radius R = 6370 km.
- Roof cover
Above the pavilion with a square ground plan with a side length of a = 12 m is a pyramid-shaped roof with a height v = 4.5 m. Calculate how much m² of sheet metal is needed to cover this roof; if 5.5% of the sheet, we must add for joints and waste.
- 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?
- Reflector
The circular reflector throws a light cone with a vertex angle 49° and is on 33 m height tower. The axis of the light beam has the axis of the tower angle 30°. What is the maximum length of the illuminated horizontal plane?
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