Geometry + area - practice problems - page 30 of 67
Number of problems found: 1327
- ABCDA'B'C'D 6261
The ABCDA'B'C'D 'prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC 'is 11.4 cm long. Calculate the surface area and volume of the prism. - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Surface area
Calculate the surface area of a four-sides 2-m high prism whose base is a rectangle with sides of 17 cm and 1.3 dm
- Rainfall
On Thursday, fell 1 cm of rainfall. How many liters of water fell into a rectangular garden with dimensions of 22 m x 35 m? - Lamp cone
Calculate the surface of a lampshade shaped like a rotary truncated cone with a base diameter of 32 cm and 12 cm and a height of 24 cm. - Hexa prism
Determine the volume of the hex prism with an edge base of 4 cm. The body height is 28 cm. - Triangular pyramid
Determine the volume and surface area of a regular triangular pyramid having a base edge a=20 cm and a lateral edge b = 35 cm. - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Sails
We know heights 220, 165, and 132 of sail. It has a triangular shape. What is the surface of the sail? - Sphere cuts
At what distance from the center intersects the sphere with radius R = 91 plane if the cut area and area of the main sphere circle are in ratio 3/6? - Room dimensions
Room dimensions are 5m and 3.5m. The room height is 2.85m. Paint the room (even with the ceiling). There will be two layers. Doors and windows have a total of 2.5 m². One box of paint is enough for 6m². How many boxes of paint are needed? How much do we p - Special cube
Calculate the cube's edge if its surface and volume are numerically equal numbers. - Cross-section 81879
The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought?
- Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Cylinder 83040
The content of the casing of the rotary cylinder is three times greater than the content of one base of this cylinder. The radius of the base of the cylinder is 10 cm. What is the surface area of the cylinder? - Wallpaper 82866
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? - Cube-shaped 68794
How much fabric will be needed to cover 12 cube-shaped seats with a 40cm edge?
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