Quadrilateral practice problems - page 7 of 12

Number of problems found: 232

Pyramid roof
3/5 of the lateral surface area of a regular quadrilateral pyramid with base edge 9 m and height 6 m has already been covered with roofing. How many square metres still need to be covered?
Diamond PQOR
In the diamond PQOR, the diagonal RQ is 4 cm long, and the angle RPQ is 60°. What is the circumference of this diamond?
Quadrilateral triangle segment
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ
Pyramid volume surface
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm.
Quadrilateral pyramid
The regular quadrilateral pyramid has a base edge a = 1.56 dm and a height h = 2.05 dm. Calculate: a) the deviation angle of the sidewall plane from the base plane b) deviation angle of the side edge from the plane of the base
Pyramid surface calculation
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid
Pyramid volume calculation
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's volume if the base edge's length is 20 dm.
Quadrilateral construction
Construct a quadrilateral ABCD with dimensions AB, BC, AC, BD, and angle d = CDA.
Pyramid volume surface
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 = 27 m³
Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 8 cm and the length of the side edge h = 9 cm.
Quadrilateral pyramid
The regular quadrilateral pyramid has a base perimeter of 44 cm and a body height of 3.2 cm. Calculate its volume and surface.
Pyramid surface
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.
Pyramid 8
Calculate the volume and the surface area of a regular quadrilateral pyramid with a base side of 9 cm and a side wall with the base has an angle of 75°.
Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane.
Quadrilateral pyramid
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid.
Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid with a volume of 24 dm³ and a height of 45 cm.
Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm² and the base edge is 16 cm?
Angle of two lines
There is a regular quadrilateral pyramid ABCDV; | AB | = 4 cm; height v = 6 cm. Determine the angles of lines AD and BV.
Wall height
Calculate the surface and volume of a regular quadrilateral pyramid if side a = 6 cm and wall height v = 0.8 dm.
Quadrilateral pyramid
Calculate the volume of a quadrilateral pyramid, the base of which has the shape of a rectangle with dimensions a = 6 cm, b = 4 cm, and height v = 11 cm

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