Volume + quadrilateral - practice problems
Number of problems found: 98
- Quadrilateral 83324
The volume of a regular quadrilateral pyramid is 72 cm³. Its height is equal to the length of the base edge. Calculate the length of the base and the surface of the pyramid. - Quadrilateral 83307
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Quadrilateral 83272
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm. - Quadrilateral 83254
What is the volume of a regular quadrilateral pyramid if its base edge a = √18 cm and side edge b = 5 cm?
- Quadrilateral 82747
Construct a 3D model of a quadrilateral pyramid with a rectangle base and sides of isosceles triangles, with a volume of 80 cubic cm. I need to know the sides and the height. - Quadrilateral 82146
Calculate the volume and surface area of a regular quadrilateral prism with base edge a=24 cm if the body diagonal makes an angle of 66° with the base. - Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm. - Quadrilateral 82052
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm. - Quadrilateral 81975
The lime pit has the shape of a quadrilateral prism with dimensions of 2m, 1.8m, and 1.5m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit.
- Quadrilateral 81385
A regular quadrilateral pyramid with base edge length a = 15cm and height v = 21cm is given. We draw two planes parallel to the base, dividing the height of the pyramid into three equal parts. Calculate the ratio of the volumes of the 3 bodies created. - 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. - 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. - Quadrilateral 73034
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm. - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume.
- Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Quadrilateral 58663
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't - Height of the prism
The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.