Area + angle - practice problems - page 9 of 15
Number of problems found: 293
- The rod
The rod has the shape of a regular hexagonal prism with a volume of 32.4 cubic decimetres. What is the area of the base if it is 350 centimeters long? Round to ones. - Honeycomb capacity
The honeycomb comprises cells with the shape of a regular 6-sided prism with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. How many liters of honey are there in the entire comb if the plastic comprises - Triangle - many properties
In a right triangle ABC with a right angle at the vertex C, it is given: a = 17 cm, Vc = 8 cm. Calculate the length of the sides b, c, its area S, the perimeter o, the length of the radii of the circles of the triangle circumscribed by R and inscribed r a - Pyramid measurements
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long. - Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism, the base edge of which is 5 cm long and its height is 20 cm. - Angle between line and plane
Find the angle between the line given parametrically by x = 5 + t y = 1 + 3t z = -2t t ∈ R and the plane given by the equation 2x-y + 3z-4 = 0. - Pyramid measurements A regular hexagonal pyramid has a base edge of 20 cm and a lateral edge of 40 cm. Calculate the height and surface area of the pyramid.
- Advertising Board Rent Cost
Renting a 1 m² advertising board costs €780 per month. A rectangular advertising board has a length of 3 m and its diagonal makes an angle of 34 degrees with the longer side. Calculate how much € an entrepreneur will pay for 4 months of renting a blackboa - Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length of 8 cm. Calculate the circumference and the hexagon area. - Simple right triangle
Right triangle. Given: side c = 18.8 and angle beta = 22° 23'. Calculate sides a, b, angle alpha, and area. - Alpha angle
Right triangle. Given: side c = 15.8 and angle alpha = 73°10'. Calculate side a, b, angle beta, and an area. - Triangle calculations
Right triangle. Given: side b = 15.8 angle alpha = 15° 11`. Calculate the side a, c, beta angle, and 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' - Paint for Hexagonal Pool How much paint do we need to paint a pool in the shape of a 6-sided prism? The base edge measures 21 dm, the corresponding height is 1.8 m, and the pool height is 150 cm. We need 0.21 kg of paint per 1 m².
- Triangle perimeter
An isosceles triangle with a base length of 32 cm has an area of 480 cm². What's his perimeter? - Conical area
A right-angled triangle has sides a=12 and b=19 at the right angle. The hypotenuse is c. If the triangle rotates on the c side as an axis, find the volume and surface area of the conical area created by this rotation. - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =? - Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage? - Decagon area
Find the area of a regular decagon if its side is 10 cm in size. - Quadrilateral prism
The body diagonal of a regular quadrilateral prism forms an angle of 60° with the base. The edge of the base is 20 cm long. Calculate the volume of the body.
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