Quadrilateral practice problems - page 2 of 12
Number of problems found: 232
- The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight. - Base side
In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40 mm, and prism height = 120 mm. What is the length of base side n =? - The quadrilateral
The quadrilateral ABCD is composed of two right triangles, ABD and BCD. For side lengths: |AD| = 3 cm, | BC | = 12 cm, | BD | = 5 cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles of DAB and DBC are right. - The regular
The regular quadrilateral pyramid has a volume of 24 dm³ and a height of 45 cm. Calculate its surface. - Special body
Above each wall of a cube with an edge a = 30 cm, we construct a regular quadrilateral pyramid with a height of 15 cm. Find the volume of the resulting body. - Calculate
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm. - Metal pyramid Find the weight of a regular quadrilateral pyramid with a base edge of 5 cm and a height of 6.5 cm, made from a material with a density 8 g/cm³.
- Quadrilateral
In the square ABCD point, P is in the middle of the DC side, and point Q is in the middle of side AD. If the area of quadrilateral BQPC is 76 cm², what is the area of ABCD? - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u - TV transmitter
The volume of water in a rectangular swimming pool is 6,998.4 hectolitres. A promotional leaflet states that if all the pool water were to fill a regular quadrilateral prism with a base edge equal to the average depth of the pool, the prism would have to - Quadrilateral pyramid
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. - Plot exchange area
Mr. Nový exchanged his rectangular plot of 5.2 hectares with his neighbor for two. The first plot has the shape of a square with a side of 70 m, and the second has the shape of a rectangle with dimensions of 110 m and 410 m. After the exchange, does the n - Prism height calculation
Calculate the height of a regular quadrilateral prism whose base is a rhombus. The edge in the base is 7 cm long, the opposite edges are 5 cm apart, and we also know that the entire body has a volume of 1 dm³. - Pyramid cube melting
They melted the steel part in the shape of a truncated quadrilateral needle and produced three identical cubes. Determine the surface area of one cube if the edges of the bases of the pyramid are 30 mm and 80 mm and the pyramid's height is 60 mm. I don't - The perimeter 6
The perimeter of the quadrilateral is 442.95 cm. The three known sides measure 84.56 cm,132.77 cm, and 82.75 cm. How long is the fourth side? - The roof
The tower's roof has the shape of a regular quadrilateral pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste. - Vegetable garden
The four sides of a vegetable garden are 15 1/2 feet, 18 3/4 feet, 24 1/4 feet, and 30 1/2 feet. How many feet of fencing are needed to go around the garden? (write the answer as the whole number) - Quadrilateral prism + water
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - angles in quadrilateral
What size have angles in quadrilateral (4-gon) if they are in a ratio of 8:9:10:13? - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; v1 = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; v2 = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2)
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