Cube + rectangle - practice problems
Number of problems found: 7
- The pool
The cube-shaped pool has 140 cubic meters of water. Determine the dimensions of the bottom if the depth of the water is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
- Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material.
- A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the surface of the cube.
- Cutting the prism
A prism with a square base with a content of 1 cm² and a height of 3 cm was cut from a cube with an edge length of 3 cm. What is the surface of the body formed from the cube after cutting the prism?
Three cubes are glued into a prism. The sum of the lengths of all its edges is 115 cm. What is the length of one edge of the original cube?
Calculate the surface of the cube ABCDA'B'C'D' if the area of rectangle ACC'A' = 344 mm².
4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
Cube practice problems. Rectangle practice problems.