Solid geometry, stereometry - page 55 of 121
Number of problems found: 2404
- Perpendicular 6624
A = 3 cm b = 4 cm prism height h = 10cm Calculate the volume of a triangular prism with the base of a right triangle - the perpendicular a, b.
- Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body.
- A cone
A cone measures 6 inches in diameter at the base. The distance from the edge of the circumference to the top is 12 inches. Find its volume.
- Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m.
- Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals.
- Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room?
- Quadrangular prism
The regular quadrangular prism has a base edge of 7.1 cm and a side edge of 18.2 cm long. Calculate its volume and surface area.
- Calculate 16523
We have a block with a square base and a height of 12 dm. We know that its volume is 588 cubic dm. Calculate the surface area of a cuboid with the same base but 2 cm more height. You write the result in dm².
- Cube-shaped 77974
How much shelf space does a cube-shaped aquarium take up if it holds 27 liters of water?
- Perimeter 64974
The prism has a square base with an edge 5 cm long and 20 cm high. Calculate it: (a) the area of the base b) the perimeter of the base c) volume d) surface
- Quadrilateral 6542
Calculate the surface of a quadrilateral prism two dm high, the base of which is a square with a side of 15cm.
- Consumption 4259
What is the consumption of fabric per tent: Length 250, width 180, the height of triangle 120, sides 150 (all cm). What is the volume of air in the tent?
- The pot
The diameter of the pot is 38 cm. The height is 30 cm. How many liters of water can fit in the pot?
- Wallpaper - box network
How much dm² of wallpaper is needed to stick a box (without a lid) in the shape of a cube with an edge of 12 dm?
- 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.
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
- The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
- Fountain
The stone fountain, which has the shape of a cylinder with a diameter of 3 m, is 70 cm deep. How many m² of stone is wetted with water?
- Closed drum
Find the total surface area of a closed cylindrical drum if its diameter is 50 cm and height is 45 cm. (π= 3.14)
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
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