Square + quadrilateral - practice problems

Number of problems found: 77

The quadrilateral
The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.
Quadrilateral
In the square ABCD point P is in the middle of the DC side and point Q in the middle pages AD. If the area of quadrilateral BQPC is 49 cm², what is the area of ABCD?
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.
Iron pole
What is the mass of a pole with the shape of a regular quadrilateral prism with a length of 1 m and a cross-sectional side length of a = 4.5 cm make from iron with density ρ = 7800 kg/m³?
Pyramid-shaped 15643
The regular quadrilateral pyramid-shaped casting with a base edge of 60 cm in length and 5 cm in height is made of a material density of 7.8 g / cm 3. Calculate its weight.
Quadrilateral 8219
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm³, whose base edge has a size a = 0.7dm.
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.
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.
Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism?
Quadrilateral 6138
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?
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 =?
Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume.
Quadrilateral 24541
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.
The tent
The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m² of cloth we need to make the tent if we have to add 7% of the seams? How many m³ of air will be in the tent?
Quadrangular prism
The regular quadrangular prism has a base edge a = 7.1 cm and side edge = 18.2 cm long. Calculate its volume and surface area.
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
Quadrilateral 6542
Calculate the surface of a quadrilateral prism 2 dm high, the base of which is: a square with a side of 15cm.
Quadrilateral 6116
The area of the mantle of a regular quadrilateral pyramid is equal to twice the area of its base. Calculate the pyramid's surface if the length of the base edge is 20 dm.
Quadrilateral 23911
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 12 cm and a height of 11 cm.
Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure.

Do you have homework that you can't solve? Ask a question, and we try to solve it.

Square practice problems. Quadrilateral practice problems.