Volume + triangle - practice problems - page 11 of 18
Number of problems found: 343
- Tetrahedral pyramid
Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Regular triangular pyramid
Calculate the volume and surface area of the regular triangular pyramid. The height of the pyramid is 12 centimeters. The bottom edge has 4 centimeters, and the height of the sidewall is 12 centimeters. - Quadrangular pyramid
The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane.
- 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet - Axial cut of a rectangle
Calculate the volume and surface of the cylinder whose axial cut is a rectangle 15 cm wide with a diagonal of 25 cm long. - Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Confectionery 7318
The confectioner needs to carve a cone-shaped decoration from a ball-shaped confectionery mass with a radius of 25 cm. Find the radius of the base of the ornament a (and the height h). He uses as much material as possible is used to make the ornament. - Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
- Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal 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. a) How many liters of honey are there in the whole comb if the comb consists o - Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism? - Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs. - Slant height
The cone's slant height is 5cm, and the radius of its base is 3cm, so find the cone's volume. - Pyramid cut
We cut the regular square pyramid with a parallel plane to the two parts (see figure). The volume of the smaller pyramid is 20% of the volume of the original one. The bottom of the base of the smaller pyramid has an area of 10 cm². Find the area of the or
- Angle of diagonal
The angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume. - Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b. - Triangular 6610
The shell of the rotating cylinder is four times larger than the contents of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Ratio of edges
The cuboid dimensions are in a ratio of 3:1:2. The body diagonal has a length of 28 cm. Find the volume of a cuboid. - Centimeters 6593
What is the height of a prism with the base of a right triangle with squares of eight centimeters and ten centimeters and a volume of 0.098 cubic decimetres?
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