Volume + quadrilateral - practice problems - page 3 of 4
Number of problems found: 77
- Pyramid-shaped 15643
The regular quadrilateral pyramid-shaped casting with a base edge of 60 cm in length and 5 cm in height is made of a material density of 7.8 g / cm 3. Calculate its weight.
- The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
- Quadrilateral 15023
The regular quadrilateral pyramid has a base circumference of 44 cm and a body height of 3.2 cm. Calculate its volume and surface.
- Quadrilateral 14103
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm.
- Quadrilateral 14093
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of a = 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain?
- Quadrilateral 13881
Please calculate the volume of a quadrilateral pyramid when a = 5cm and the wall height is w = 12cm.
- Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure.
- Quadrilateral 11241
The regular quadrilateral pyramid has a height of 40 cm and a base side of 21 cm. Cut the needle at half the height. How much will both parts have?
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
- Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
- Quadrilateral 8219
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm3, whose base edge has a size a = 0.7dm.
- Quadrilateral 8220
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm.
- Quadrilateral 7815
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's volume if the base edge's length is 20 dm.
- 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.
- 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.
- Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
- Iron pole
What is the mass of a pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm made from iron with density ρ = 7800 kg/m³?
- Quadrangular pyramid
Given is a regular quadrangular pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area.
- Quadrilateral 6353
Given is a regular quadrilateral pyramid with a figure of a square. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.
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