Pyramid practice problems - page 4 of 14
Number of problems found: 267
- Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° around its centerpiece, it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view - School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm³ - Quadrilateral pyramid
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. - The roof
The house's roof has the shape of a regular quadrilateral pyramid 5 m high and the edge of the base 7 m. How many tiles with an area of 540 cm² are needed? - Base diagonal
In a regular four-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the pyramid's surface area and volume. - 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Pentagonal pyramid
The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid. - The tent
The tent has the shape of a regular square pyramid. The edge of the base is 3 m long, and the tent's height is 2 m. Calculate how much cover (without a floor) is used to make a tent. - Triangular pyramid
A regular tetrahedron is a triangular pyramid whose base and walls are identical equilateral triangles. Calculate the height of this body if the edge length is a = 8 cm. - Pyramid Roof Sheet Metal
The roof of the recreation cottage has the shape of a regular four-sided pyramid with a height of 8 m and a base edge of 4 m. How much ℅ went to folds and joints, and 75.9 square meters of sheet metal were used to cover the roof? - Regular quadrangular pyramid
The height of the regular quadrilateral pyramid is 6 cm, and the length of the base is 4 cm. What is the angle between the ABV and BCV planes? ABCD is the base, V is the vertex. - Roof 7
The roof is a regular quadrilateral pyramid with a base edge of 12 m, and a height of 4 m. How many percent is folds and waste if in construction was consumed 181.4 m² of the plate was? - Pyramid - angle
Calculate the regular quadrilateral pyramid's surface, the base edge of which is measured 6 cm, and the deviation from the plane of the base's sidewall plane is 50 degrees. - 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. - CoG center
Find the position of the center of gravity of a system of four mass points having masses, m1, m2 = 2 m1, m3 = 3 m1, and m4 = 4 m1, if they lie at the vertices of an isosceles tetrahedron. (in all case - Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrilateral pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Quadrilateral pyramid A quadrilateral pyramid has a rectangular base with 24 cm and 13 cm dimensions. The height of the pyramid is 18 cm. Calculate: 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid
- Pyramid surface volume
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm. - Pyramid cutting calculation
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? - Weight of Gold Pyramid
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting?
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