# Expression of a variable from the formula + quadrilateral - math problems

#### Number of problems found: 38

• 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.
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
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 m ^ 3, v = 2.1 m
• 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 content. Calculate the area of the upper base.
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.
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?
• Find the
Find the surface area of a regular quadrilateral pyramid which has a volume of 24 dm3 and a height of 45 cm.
The height of a regular quadrilateral prism is v = 10 cm, the deviation of the body diagonal from the base is 60°. Determine the length of the base edges, the surface, and the volume of the prism.
• Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14m and 10m long. The sidewalls form an angle of 135° with a smaller base. Determine how many m3 of soil were excavated when digging the pit?
What is the volume of a regular quadrilateral pyramid if its surface is 576 cm2 and the base edge is 16 cm?
A quadrilateral pyramid, which has a rectangular base with dimensions of 24 cm, 13 cm. The height of the pyramid is 18cm. Calculate 1/the area of the base 2/casing area 3/pyramid surface 4/volume of the pyramid
• Distance of points
A regular quadrilateral pyramid ABCDV is given, in which edge AB = a = 4 cm and height v = 8 cm. Let S be the center of the CV. Find the distance of points A and S.
In a regular quadrilateral pyramid, the height is 6.5 cm and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body. Round calculations to 1 decimal place.