Geometry - math word problems - page 69 of 162
Number of problems found: 3227
- Room dimensions
The room dimensions are 5m and 3.5m, and the 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 6 m². How many boxes of paint are needed? How much do
- Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase?
- Line segment
Line segment AB is 8 cm long. Divide it by a ratio of 2:3.
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube.
- Iron rod
What is the mass of a cylindrical iron rod with a length a = 9 m and a diameter d = 6 cm? The density of iron is 7,800 kg/m³. Express the result in kilograms, and round to the nearest whole number.
- 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.
- Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and the outer circumference is 40.7 m.
- 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?
- Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
- 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume.
- Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm.
- The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney.
- Perpendicular prism
Calculate the volume of the vertical prism if its height is 60.8 cm and the base is a rectangular triangle with 40.4 cm and 43 cm legs.
- Cross-section 32163
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool?
- Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume.
- Quadrilateral 25201
Calculate the volume and surface of a regular quadrilateral prism with a base edge a = 46 mm and a height v = 0.67 dm.
- Hexagonal 8200
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12cm. What is its volume?
- Measuring 6159
We have a cube measuring side a = 540mm. However, it is made of 25 mm thick sheet metal. How much do I need to sheet the cubes inside and the bottom? The lid is not required.
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