Prism practice problems - page 5 of 28
Number of problems found: 550
- Trapezoidal prism
Calculate the surface of the quadrilateral prism ABCDA'B'C'D' with the trapezoidal base ABCD. The height of the prism is 12 cm; ABCD trapezoidal data: AB base length is 8 cm, CD base length is 3 cm, BC arm length is 4 cm, and AC diagonal length is 7 cm. L - Triangular 24001
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Cross-section of iron bar
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g/cm³? What is the surface of the iron rod? - Triangular 24091
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height. - Beautiful garden
If 10 mm of water fell on a trapezoid-shaped garden with bases of 30 m and 20 m and a height of 20 m, how many buckets of water would we need to water the garden equally abundantly if the bucket had a volume of 15 l? - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - Cross-section 33541
How many m³ of soil must be moved when digging a straight trench 170 m long, the cross-section of which is an isosceles trapezoid with bases of 150 cm and 80 cm, and arms are 90 cm long? - Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - 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 - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm. - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - Square 8420
How many square prisms are there if the length of one side is 100mm and the total length of the prism is 4000mm, and it can fit into one cubic meter? - Triangular 28061
Calculate the surface area of a triangular prism with a height of 7 dm. Measures the edges of the triangular base 45 cm, 5 dm, 550 mm. - Calculate 23411
The prism with a diamond base has one base diagonal of 20 cm and a base edge of 26 cm. The edge of the base is 2:3 to the height of the prism. Calculate the volume of the prism. - Triangular prism
The perpendicular triangular prism is a right triangle with a 5 cm leg. The prism's largest wall area is 130 cm2, and the body height is 10 cm. Calculate the body volume. - Hexa prism
Determine the volume of the hex prism with a 4 cm edge base and a 28 cm body height. - Vertical prism
The base of the vertical prism is a rhombus with diagonals of 24 cm and 10 cm. Suppose the shell area is 52% of the total surface area of the prism. Calculate its surface. - Cross-section 5048 A path will lead to an embankment across the floodplain. The embankment will be 2 km long and have the shape of an isosceles trapezoid in cross-section with base lengths of 12 m and 8 m and a height of 2 m. Calculate the volume of material needed to build
- Cross-section 4507
How much soil needs to be removed when digging a 200 meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Prism
The base of a vertical triangular prism is a right triangle with legs 4.5 cm and 6 cm long. What is the surface of the prism if its volume is 54 cubic centimeters?
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