Solid geometry, stereometry - page 58 of 121
Number of problems found: 2402
- Administrator 23801
The administrator of the castle is trying to estimate how many square meters of sheet metal will be needed for the new roof of the tower. The roof has the shape of a cone. The castle administrator knows that the tower's diameter is 4.6 meters and its heig
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
- Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm².
- Trapezoidal prism
Calculate the volume of a prism with a trapezoidal base with side a = 6 dm, side c = 4 dm, and height of the prism = 8dm. The height of the trapezoid is va = 3dm.
- Cone base
Calculate the circumference of the cone base; round the result to millimeters. If you know: radius 24 mm and height 46 mm.
- Calculate - sphere
Calculate the surface and volume of the sphere if its radius r = 5 cm.
- Calculate 423
Calculate the volume and surface area of a cylinder if its height is 40 dm and the diameter of the base is 3 m.
- 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.
- Cube-shaped 68794
How much fabric will be needed to cover 12 cube-shaped seats with a 40cm edge?
- Calculate 18393
Calculate the cube's volume if its edge length is 5 cm.
- Cloth / textile
We have a cloth measuring 16 square meters. How many 20 cm by 20 cm by 8 cm bags can you make? Assume the bag is a cuboid without one top base.
- 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.
- 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.
- Calculate S,V
Calculate the volume and surface area of the sphere if given r = 36mm.
- 3d printer
3D printing ABS filament with a diameter of 1.75 mm has a density of 1.04 g/cm³. Find the length of m = 5 kg spool filament. (how to calculate length)
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