Expression of a variable from the formula + quadrilateral - practice problems - page 4 of 5
Number of problems found: 84
- 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. - 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 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm
- 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 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 8120
Include the side edge length of a regular quadrilateral pyramid if the pyramid height is 4 cm and the base area is 16 cm². - Quadrilateral 8109
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface. - Quadrilateral 8060
The volume of the cuboid is 864 mm³. Its square shape has the same content as the base of a quadrilateral prism with the dimensions of the base 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Determine the surface areas of both
- 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. - Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume. - Centimeters 6604
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism. - 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. - 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?
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