Geometry - math word problems - page 95 of 162
Number of problems found: 3231
- Dice-shaped 59953
How much paper will we need to make eight dice-shaped boxes with a 20 cm long edge?
- Calculate
The circumference of the ball is o = 87 cm. Calculate its volume. Express the result in liters and round to the nearest whole number.
- 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?
- The tetrahedron
Calculate a regular tetrahedron's surface area and volume 4.9 cm high, and the base edge has a length of 6 cm.
- Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm.
- Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²?
- A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume.
- Castle tower
The castle tower has a cone-shaped roof with a diameter of 10 meters and a height of 8 meters. If we add one-third to the overlap, calculate how many m² of coverage is needed to cover it.
- 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.
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
- Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base?
- Perimeter of base
The circumference of the base of the rotating cylinder is the same as its height. What is the diameter and height of this cylinder with a volume of 1 liter?
- Cube walls
Find the volume and surface area of the cube if the area of one wall is 40 cm².
- Tetrahedron
Calculate the height and volume of a regular tetrahedron whose edge has a length of 13 cm.
- Shadows
At the park, a young woman who is 1.72 meters tall casts a 3.5 meters shadow at a certain hour. What is the height of a tree in the park that, at the same time, casts a 12.3 meters shadow?
- Tree shadow
The shadow of the tree is 16 meters long. The shadow of a two-meter-high tourist sign beside standing is 3.2 meters long. What height is a tree (in meters)?
- Cone-shaped 82466
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass?
- Calculate 32311
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm.
- Quadrilateral 6353
Given is a regular quadrilateral pyramid with a square figure. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.
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