Prism practice problems - page 23 of 28
Number of problems found: 550
- Isosceles weight
A designer weight is made from a glass cube by cutting a three-sided prism with an isosceles triangle base that is right-angled and whose arm is half the length of the cube edge. What percentage of the cube is cut off when making the weight? - Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - 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. - The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank? - Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism. - Quadrilateral 23891
A cylinder with the maximum possible base was ground from a wooden regular quadrilateral prism (edge 2.8 cm, height 7.5 cm). What percentage of the material was wasted as waste? What percentage would it be if the height of the prism were twice as large? - Three-sided prism
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. - 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. - Hectoliters of water - Garden
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3? - 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. - Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume. - Dimensions 31681
The welded sheet metal tub is shaped a prism with dimensions of 6x2x2 m. How many m³ of water can fit in it, and what is its surface? - Calculate 2674
Calculate the volume of the block if a = 3 cm, the size of the body diagonal is 10 cm and the size of the diagonal of the base is 5 cm - Dimensions of a prism
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 =? - Cuboid - surface area
Calculate the surface of a block whose two sides measure 12.8 cm and 162 mm and have a volume of 3,214.08 cm3 - The wall
The wall in the bathroom has dimensions of 2.8 m and 2.6 m. Suppose we would like to cover this wall to a height of 1.6 m. How many square meters of tiles do we need to buy? - Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted? - Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas. - Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm2, and its height is 80 mm. Determine its surface area and volume.
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