Practice problems of the prism - page 21 of 26
A prism is a polyhedron comprising an n-sided polygonal base, a second base which is a translated copy (rigidly moved without rotation) of the first, and n other faces (necessarily all parallelograms) joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases. Prisms are named for their bases, so a prism with a pentagonal base is called a pentagonal prism.Number of problems found: 520
- Calculate 71364
Calculate the surface of a block whose two sides measure 12.8 cm, 162 mm and have a volume of 3,214.08 cm3 - Measuring 67484
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Aquarium 28461
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm? - Dimensions 6662
How many square meters of wallpaper do we need to glue the room walls with dimensions of 3 m and 4 m if the room's height is 2.5 m? - Dimensions 6264
Calculate the length of the body diagonal of a block whose dimensions are a = 5cm, b = 6cm, c = 10cm. - Centimeters 72534
Calculate the edge c and the surface S of a block if its volume is equal to 42 cubic centimeters, a = 6cm, b = 3.5cm, c =? - 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 5112
The body diagonal of a regular quadrilateral prism forms an angle of 60 ° with the base. The edge of the base is 20 cm long. Calculate the volume of the body. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper left him? - Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane. - Prism
A right-angled prism, whose base is a right triangle with leg a = 3 cm and hypotenuse c = 13 cm, has the same volume as a cube with an edge length of 3 dm. a) Find the height of the prism b) Calculate the surface of the prism c) What percentage of the cub - Block-shaped 81702
Calculate how many dm² of wood the craftsman needs to make a block-shaped wooden remote control stand with dimensions of 3.2 dm, 2.4 dm, and a height of 0.6 dm. - Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Calculate 6244
Calculate how many dm² of sheet metal it takes to produce a box without a lid measuring 2.1dm, 3.5dm, and 0.5dm in height. - Dimensions 3406
We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level? - Prism
The prism's base is a rhombus with a side 30 cm and a height 27 cm long. The height of the prism is 180% longer than the side length of the rhombus. Calculate the volume of the prism. - Diagonal
Determine the dimensions of the cuboid if diagonal long 60 dm has an angle with one edge 35° and with another edge 77°. - Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - Body diagonal
Calculate the volume of a cuboid whose body diagonal u equals 6.1 cm. The rectangular base has dimensions of 3.2 cm and 2.4 cm.
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