Square root + area - practice problems - page 4 of 22
Number of problems found: 421
- Right-angled 81359
The paths in the park form a right-angled triangle, which on the map with a scale of 1:200 has two dimensions of side lengths of 9cm and 15cm. Grandma walks this route every day for a health walk. How many meters does she walk? - Determine 81311
The surface of the rotating cone and its base area is in the ratio 18:5. Determine the volume of the cone if its body height is 12 cm. - Square 81238
A forest with a square plan has an area of 4 square km. What side will the square have on a 1:50,000 scale map? - Equilateral 81222
A sphere is inscribed in an equilateral cone with a base diameter of 12 cm. Calculate the volume of both bodies. What percentage of the volume of the cone is filled by the inscribed sphere?
- Millimeter 81208
A cylinder has the same diameter as its height. Calculate these data if the surface is 200 cm square. Report the results to the nearest millimeter. - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Corresponds 81049
Cyril marked a square plot of land on a map with a scale of 1 ∶ 50,000 and calculated that its side corresponds to 1 km. He reduced the map on the copier so that the marked square had an area smaller by 1.44 cm² than on the original map. What was the scal - Calculate 81034
Calculate the volume of the spherical segment and the surface area of the canopy if the radius of the sphere is r=5cm and the radius of the circular base of the segment ρ=4cm. - Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases.
- Right-angled 81019
In the right-angled triangle ABC (AB is the hypotenuse), a : b = 24 : 7, and the height to the side c = 12.6 cm applies. Calculate the lengths of the sides of triangle ABC. - Respectively 80982
The vertices of the square ABCD are joined by the broken line DEFGHB. The smaller angles at the vertices E, F, G, and H are right angles, and the line segments DE, EF, FG, GH, and HB measure 6 cm, 4 cm, 4 cm, 1 cm, and 2 cm, respectively. Determine the ar - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - Equilateral 80851
Kornelia cut off the colored part from the equilateral triangle. The shortest side of the colored triangle is 1/3 the length of the side of the original triangle. Calculate what part of the triangle she cut off. - Consumption 80836
The right trapezoidal plot has a basic length of 102m and 86m. The vertical arm is 63 m long. Calculate the plot’s area and the mesh consumption for its fencing.
- Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. The content is 6cm². - Triangular 80766
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm. - Difference 80618
A regular hexagon is described and inscribed in a circle. The difference between its areas is 8√3. Find the circle's radius. - Square room 2
A square room has a floor area of 144 square feet. The height of the room is 6 feet. What is the area of one wall? - Equilateral 80573
The field has the shape of an equilateral triangle. Calculate its content if you know that the side is 280 meters long.
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