Cuboid practice problems - last page
Number of problems found: 774
- Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 metres long, 2 metres wide, and 1.5 metres high to make it easier for the builders to reach the secon - Pyramid height calculation
The base of the prism is a square with a side of 10 cm. Its height is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume. - Prism
Three cubes are glued into a prism. The sum of the lengths of all its edges is 487 cm. What is the length of one edge of the original cube? - Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Largest possible cone
It is necessary to make the largest possible cone from an iron rod in the shape of a prism with dimensions of 5.6 cm, 4.8 cm, and 7.2 cm. a) Calculate its volume. b) Calculate the waste. - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere? - Toy cubes
From children's wooden cubes in the shape of a prism with a square base (the side of the base is 4 cm long, the height of the prism is 8 cm) a fortress is built with towers made of two cubes on top of each other ending in pyramids with the same base as th - Water container transfer
Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm? - Volleyball rack capacity
Calculate how many volleyballs with a circumference of 65 cm fit into a cube-shaped rack whose edge is 100 cm long. - Rainwater Tank Volume
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12 m wide and reports 50 mm of rainfall? - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000 m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the larg - Wooden blocks
Alex cut the wooden block into two parts in one cut. Which body could he not get?
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