Solid geometry, stereometry - page 33 of 121
Number of problems found: 2404
- Wall thickness
The hollow metal ball has an outside diameter of 40 cm. Determine the wall thickness if the weight is 25 kg and the metal density is 8.45 g/cm³. - Cuboid edges in ratio
Cuboid edge lengths are in ratio 2:4:6. Calculate their lengths if you know that the cuboid volume is 24576 cm³. - For thinkings
The glass cube dives into the aquarium, which has a length of 25 cm, a width of 20 cm, and a height of 30 cm. Aquarium water rises by 2 cm. a) What is the volume of a cube? b) How many centimeters measure its edge? - Centimeter 23781
Calculate the diameter of a cylinder 7.5 dm high with a volume of 0.6 hl. Express the result to the nearest centimeter. - Small and big box
Boxes with dimensions of 6 cm, 10 cm, and 15 cm should fit into a cube-shaped box. What are the smallest dimensions a box can have? How many boxes of the given dimensions can fit in it? - Two rectangular boxes
Two rectangular boxes with dimensions of 5 cm, 8 cm, 10 cm, and second of 5 cm, 12 cm, and 1 dm will be replaced by a single cube box of the same cubic volume. Calculate its surface. - Measuring 67734
The candle is shaped like a block measuring 3 cm, 4 cm, and 5 cm. If we gradually enlarge one, two, and all three edges twice, how many times is more wax used to make a candle? - Sphere volume formula
If V=4/3 π r³, find the value of V when r = 7, the value of r when V=113 1/7 - Millimeter 6629
The ice cube weighs 24g. Determine the size of its edge to the nearest millimeter. If the ice density is 917kg/m3 - Deformed 5992
Fifty small metal cubes with an edge length of 2 cm were deformed, and we made one large cube from this material. What is its surface? - Identical cubes
From the smallest number of identical cubes whose edge length is expressed by a natural number, can we build a block with dimensions 12dm x 16dm x 20dm? - Calculate 38073
1. Calculate the volume of a cube whose edge is 3.6 dm long. 2. Calculate the edge's size if you know its surface S = 2166 mm². - Tetrahedral prism
The height of a regular tetrahedral prism is three times greater than the length of the base edge. Calculate the length of the base edge if you know that the prism volume is 2187 cm³. - Volumes 7252
The block and the cube have the same volumes of 512 cm3, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length? - Cuboid walls
Suppose the areas of three adjacent faces of a cuboid are 8 cm², 18 cm², and 25 cm². Find the volume of the cuboid. - Three cubes
Two cube-shaped boxes with edges a = 70 cm; b = 90 cm must be replaced by one cube-shaped box. What will be its edge? - Eight
Eight small Christmas balls with a radius of 1 cm have the same volume as one large Christmas ball. What has a bigger surface: eight small balls or one big ball? - Cube surface and volume
Find the surface of the cube with a volume of 27 dm³. - Edges or sides Calculate the cube volume if the sum of the lengths of all sides is 276 cm.
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
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