Cube practice problems
A cube is a three-dimensional geometric shape with six identical square faces, twelve equal edges, and eight vertices (corners). All angles in a cube are right angles (90 degrees), and all edges are of equal length. It is a special type of rectangular prism and one of the five Platonic solids (perfectly symmetrical shapes). Cubes appear in everyday objects (like dice or boxes) and in mathematics, where their volume is calculated as edge length³ (V = a³).Number of problems found: 555
- Geometric 20
Find the geometric mean of 15 15 20 25 30.
- A cube 2
A cube has an edge length of 4 cm. Then its volume is:
- Binary series
The 4th term of a G.P. is 16 and the 7th term is 128 . Find the first term and common ratio of the series.
- Cbrt of fraction
If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/27. Find the fraction.
- A cube 3
A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter?
- Melting 3 cubes
The sides of the three metal cubes are 30 cm, 40 cm, and 50 cm, respectively. Find the side of the new cube formed by melting these cubes together.
- Three cubes
Three cubes of iron whose edges are 6 cm, 8 cm, and 10 cm, respectively, are melted and formed into a single cube. Find the edge of the new cube.
- A single
A single, standard number cube is tossed. What is the probability of getting a number greater than 3?
- A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube.
- Perfect square or cube
Would you classify 324 as a perfect square, perfect cube, both, or neither? ...
- Ones cube
Find the volume of a cube whose total surface area is 6 m².
- A piece 7
A piece of dry ice is in the shape of a cube with edge lengths of 7cm. Find the surface area of the dry ice.
- Plasticine cuboid
Paul makes a cuboid of plasticine with sides 5 cm, 2 cm, and 5 cm. How many such cuboids will he need to form a cube?
- The size 3
The size of a wooden block is 15cm × 12cm × 20cm. How many such blocks will be required to construct a solid wooden cube of minimum size?
- Cylinders and cube
How many cylinders of radius 20 cms and height 0.7 metres can be formed by melting a cube of 2.2 metres sides?
- Two cubes 2
Two cubes each of volume 125 cm³ are joined end to end. Find the surface area of the resulting cuboid .
- Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each
- Toy Store
Beezlebum's Toy Store can't keep its stackable block set in stock! The blocks completely fill a box shaped like a rectangular prism that is 14 inches long, 14 inches wide, and 21 inches tall. The cube-shaped blocks in the set are 3.5 inches along each edg
- The cube - simple
Calculate the surface of the cube measuring 15 centimeters.
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