Expression of a variable from the formula + quadrilateral - practice problems
Number of problems found: 68
- Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2: 4: 5. The surface of the prism is 57 cm². Calculate the volume.
- Corresponding 67714
The quadrilateral prism has a volume of 720cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm.
- Quadrilateral 66294
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle)
- Height of the prism
The volume of the quadrilateral prism is 723.6 cm³. The base of this prism is a rhombus with a side 9 cm long and a corresponding height of 6.7 cm long. Find the height of the prism.
- Parallelogram 54791
Construct triangle ABC if c = 5cm, b = 7cm and a = 4cm. Then create a parallelogram axially symmetric with the line AC and measure the size of the second diagonal of this quadrilateral.
- Quadrilateral eq3
Three sides of a quadrilateral are equal to the foreside which is 16 cm long. What is the length of the one with equal sides if the perimeter is 58 cm?
- The perimeter 6
The perimeter of quadrilateral is 442.95 cm. If the three known sides measure 84.56 cm,132.77 cm, and 82.75 cm, how long is the fourth side?
- Base side
In a quadrilateral prism, are known surface area S = 12400 mm² base side m = 40mm and prism height = 120mm, what is the length of base side n =?
- Parallelogram ABCD
We have the parallelogram ABCD, where AB is 6.2 cm BC is 5.4 cm AC is 4.8 cm calculate the height on the AB side and the angle DAB
- 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 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
- Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
- Quadrilateral 44471
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height.
- Quadrilateral
The perimeter of a quadrilateral (four sided plane shape) is 125 cm . If the three known sides measure a=12 cm, b=45 cm, and c=30.5 cm, how long is the fourth side?
- Truncated pyramid
Find the volume and surface area of a regular quadrilateral truncated pyramid if base lengths a1 = 17 cm, a2 = 5 cm, height v = 8 cm.
- Quadrilateral 36061
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.
- 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
- From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone?
- Quadrilateral 32193
In a regular quadrilateral pyramid, the base edge a = 6cm, the side edge b = 10cm. Calculate the height of the pyramid.
- Find the
Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm³ and a height of 45 cm.
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