Volume + quadrilateral - practice problems - last page
Number of problems found: 98
- 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. - Quadrilateral 6332
The regular quadrilateral pyramid is 2 m high. The height of the sidewall is 2.8 m. What are the dimensions of the base? Calculate the surface area and volume of the pyramid. - Quadrilateral 6138
What is the tent's height in the shape of a regular quadrilateral pyramid, whose volume is three dm³ and the base has an area of 6 dm²? - Quadrilateral 5814
Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm.
- Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Quadrilateral 5130
There is a regular quadrilateral pyramid with the base edge length a = 3 cm and with the length of the side edge h = 8 cm. Please calculate its surface area and volume. - Quadrilateral 5112
The body diagonal of a regular quadrilateral prism forms an angle of 60 ° with the base. The edge of the base is 20 cm long. Calculate the volume of the body. - Quadrilateral 5047
How many liters of gasoline are in the tank in the shape of a quadrilateral prism with the base of a diamond with a side of 25 cm and a height of 15 cm? The gasoline reaches 4/5 of the tank height, and the tank height is 50 cm. - Metal pyramid
Find the weight of a regular quadrilateral pyramid with a 5 cm length and 6,5 cm body height made from material with density g/cm³.
- Quadrangular prism
The quadrangular prism has a volume of 648 cm³. Trapezoid which is its base has the dimensions bases: a = 10 cm, c = 5 and height v = 6 cm. What is the height of the prism? - The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism. - Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m² of cloth did we need to make the tent if we have to add 7% of the seams? How many m³ of air will be in the tent?
- Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area. - Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm.
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