Quadrilateral practice problems - page 4 of 12
Number of problems found: 232
- 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 pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm. - Quadrangular block
The surface of the quadrilateral block is 3.4 dm². The edges of the block are 8 cm and 10 cm long. Calculate the volume of the block. - Quadrilateral prism
The surface of the regular quadrilateral prism is 8800 cm2, and the base edge is 20 cm long. Calculate the volume of the prism - Pyramid Height Volume Area
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? - Quadrangular prism
The regular quadrilateral 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
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Z5 – I – 2 MO 2018
Tereza received four identical right-angled triangles with sides of lengths 3 cm, 4 cm, and 5 cm. From these triangles (not necessarily all four) she tried to put together new shapes. She gradually managed to put together quadrilaterals with perimeters of - Water height calculation
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm. - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid - Pyramid Surface Area Ratio
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm. - Pyramid Height Surface Area
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. - Quadrangular pyramid
The regular quadrilateral pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Given are 3
Two statements are given: First statement: "If a quadrilateral is a parallelogram, then its diagonals bisect each other." Second statement: "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram." How many of the - Tent air volume
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - Pyramid surface volume
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid. - Surface of Quadrilateral Prism
Calculate the surface of a quadrilateral prism two dm high, the base of which is a square with a side of 15 cm. - Pyramid intersection
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - 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.
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