Practice problems of the area of an unit conversion - page 27 of 30
Number of problems found: 588
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism.
- Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Parallelogram 65334
In a parallelogram, the sum of the lengths of the sides a+b = 234. The angle subtended by the sides a and b is 60°. The diagonal size against the given angle of 60° is u=162. Calculate the sides of the parallelogram, its perimeter, and its area. - Decorative 46721
How many liters of water can fit in a decorative garden tank in the shape of a regular hexagonal pyramid with a 30 cm long base edge? The depth of the tank is 30 cm. - Deformation 6260
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
- Cone
The rotating cone volume is 9.42 cm3, with a height of 10 cm. What angle is between the side of the cone and its base? - Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Glass mosaic
How many dm² glasses are necessary to produce 97 slides of a regular 6-gon, whose side has a length 21 cm? Assume that cutting glass waste is 10%. - Circular 7894
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Parallelogram
We know about parallelogram ABCD: length |AB| = 76cm, |BC| = 44cm, and angle ∢BAD = 30°. Find the area of the parallelogram.
- Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Parallelogram 6049
Calculate the area of the parallelogram if a = 57cm, the diagonal u = 66cm, and the angle against the diagonal is beta β = 57° 43' - Calculate 32001
Calculate the volume of a 1.4 m high hexagonal prism container with a base area of 8300 cm². - Dusan
a) Dusan breaks two same windows, which have a triangular shape with a length of 0.8 m and a corresponding height of 9.5 dm. Find how much dm² of glass he needs to buy for the glazing of these windows. b) Since the money to fix Dusan has not been, it must - Quadrilateral 6542
Calculate the surface of a quadrilateral prism two dm high, the base of which is: a square with a side of 15cm.
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