Cube practice problems - page 8 of 28
Number of problems found: 560
- The cube
The cube has a surface area of 216 dm². Calculate: a) the area of one wall, b) edge length, c) cube volume. - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Cube edge
The cube has a surface area of 110.6 cm². Calculate the length of its edge. - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube. - Cubes and mouse
The mouse has 27 cubes, which it puts together in a large cube. Then it bit the middle cat on each side and another cat in the middle. The mouse has four children. He then cuts the cube lengthwise. How many cubes and what shape will four mice get? - Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have? - Container salt edge
The cube-shaped container can hold precisely 8 cm³ of bath salt. How many cm³ of bath salt will fit in a cube-shaped container with an edge twice as long? - Cube tower ways
How many ways can a tower of five yellow and four blue cubes be built so that each yellow cube is adjacent to at least one other yellow cube? Yellow dice are indistinguishable, and so are blue dice. - Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m3) - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - One third power
Which equation justifies why ten to the one-third power equals the cube root of ten? - Sheet of paper Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no)
- Cube corners
We cut a small cube with an edge length of 2 cm from each corner of a large cube with an edge length of 10 cm. How many cm³ was the body left from the big cube after cutting the small cubes? - Cube dimensions
The red cube has an edge 0.2 dm smaller than the blue cube. The surface of the blue cube is 294 cm². What are the dimensions of the cubes? - Number divisibility probability
What is the probability that a randomly written two-digit number from number 20 to number 99 will be divisible by 11, the power of number 3, or a prime number? - Cube Surface Ratio Edges
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Cube cutting
We cut identical cubes with an edge length of 2 cm from two corners from a wooden cube with an edge of 0.6 decimetres. How many cubes with an edge length of 2 cm can still be cut from a wooden cube? - Sugar cube beet
A cube of sugar weighs 6 grams. How many sugar cubes are produced from one sugar beet that weighs 0.9 kg; if its sugar content is 18 percent? - Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one to have the same volume as the original ones. What is the length of the edge of this cube? - Cube Edge Size Volume
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter.
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