Practice problems of the surface area of a pyramid - last page
Number of problems found: 140
- Calculate 46151
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate the surface of a pyramid. - Tetrahedron 5844
Calculate the surface area of a regular tetrahedron whose height is 9 cm. - 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. - 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.
- Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - Pyramid in cube
In a cube with an edge 12 dm long, we have an inscribed pyramid with the apex at the center of the cube's upper wall. Calculate the volume and surface area of the pyramid. - Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3 - Rotating 6245
How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times
- Consumption 4259
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent? - Consumption 15663
The cone-shaped sheet metal roof has a base diameter of 80 cm and a height of 60 cm. Calculate the paint consumption for painting this roof if 1 kg of paint is consumed per 6 m² of sheet metal. - Pit
The pit has the shape of a truncated pyramid with a rectangular base and is 0.8 m deep. The pit's length and width are the top 3 × 1.5 m bottom 1 m × 0.5 m. To paint one square meter of the pit, we use 0.6 l of green color. How many liters of paint are ne - Surface 64744
The cone is 12 cm high, and the radius of the figure is 9 cm. Find out its surface. - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrangular pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =?
- Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, and height v = 8 cm. - 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. - 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 - Heptagonal pyramid
A hardwood for a column is in the form of a frustum of a regular heptagonal pyramid. The lower base edge is 18 cm, and the upper base of 14 cm. The altitude is 30 cm. Determine the weight in kg if the wood density is 10 grams/cm³.
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