Pythagorean theorem + square root - practice problems - page 22 of 24
Number of problems found: 473
- Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism - Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - Measuring 65374
Calculate the length of the body diagonal of a block measuring 6 cm, 7 cm, and 10 cm, and round the result to two decimal places. - Quadrangular 64724
The decorative object has a quadrangular pyramid shape, the base edge is 0.7 dm, and the side edge is 1.4 dm long. Calculate the height of the object.
- Millimeter 24231
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap). - Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm. - Calculate 83044
The cube comprises 64 small cubes, each with an edge length of 15 mm. Calculate the wall length and body diagonals. - Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume.
- Parameters 28521
The basic parameters of the rotating cone are: Base radius 5 cm Cone height 12 cm and cone side 13 cm. Calculate: a/volume of the cone b/cone surface - Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube. - Calculate 2674
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm - Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base, - Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Inscribed 81949
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area. - Calculate 73434
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm. - Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm. - Substantial 65114
Calculate the volume of a regular triangular prism with a substantial edge length of 8 cm and a prism height of 17 cm. - Perpendiculars 36213
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
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