Prism practice problems - page 25 of 28
Number of problems found: 550
- Quadrangle prism
Find the volume of a quadrangle prism high 2 dm whose base is a square with a side of 15 cm.
- Building base
Excavation for the building base is 350x600x26000. Calculate its volume in m³.
- Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume.
- Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal.
- Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a.
- Perpendicular 82488
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D)
- The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm.
- The surface
The cuboid's surface area is 1714 cm2, and the edges of the base are 25 cm and 14 cm long. Find the area of the surface.
- Triangular prism
The plane passing through the edge AB and the center of segment CC' of regular triangular prism ABCA'B'C' has an angle with base 30 degrees, |AB| = 15 cm. Calculate the volume of the prism.
- Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height.
- ABCDEFGHIJKL 8426
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees.
- Four-sided prism
Find the surface area and volume of a four-sided prism high 10cm if its base is a rectangle measuring 6cm and 1.4dm.
- The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
- Cylinder - h
The cylinder volume is 140 cm³. The base radius is 7 cm. Calculate the height of the cylinder.
- Recommended size
The recommended room size is 90 cubic meters. How many square meters is it? (room height is 2.5 m)
- Cylindrical 66744
How many liters will fit in a cylindrical container with a base area of 0.06 m² and a height of 5 cm?
- Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
- In a regular 5
In a regular triangular prism ABCV, the deviation of the side wall and the base plane is α = 45°. Determine the deviation of the side edge and the base plane.
- Calculate - prism
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.
- Calculate 25321
Calculate the body's volume, consisting of a prism and a pyramid with the same square base with an edge of 8 cm. The prism is 20 cm high, and the pyramid is 15 cm.
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