Cuboid + comparing - practice problems - last page
Number of problems found: 36
- Stones in aquarium
In an aquarium with a length of 2 m, a width of 1.5 m, and a depth of 2.5 m is a water level up to three-quarters of the depth. Can we place stones with a volume of 2 m³ into the aquarium without water being poured out? - Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time? - Block-shaped 5556
Excavated soil increases the volume of the pile by 1/3. Can a 6 m, 2.5 m, and 1.8 m truck body be used to transport excavated soil to a 5 m, 2 m, and 1.5 m block-shaped pool? - Cube-shaped 4075
Will you need more paper to wrap a 2.3dm cube box or a 12 cm, 3 dm, and 8 cm cube-shaped box?
- Aquarium
Can 30 liters of water fit in a cuboid aquarium with dimensions a = 3dm b = 6dm c = 5dm? - Paper box
Calculate whether 11 dm² of paper is sufficient for gluing a box without a lid with bottom dimensions of 2 dm 15 cm and 12 cm high. Write result as: 0 = No, 1 = Yes - Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there? - A butter
A butter cube with an edge 6.5 cm long is packed in a package with dimensions a = 28 cm and b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm.
- Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm? - Quadrilateral 14211
We poured water up to a height of 34 cm into a container of a regular quadrilateral prism with a base edge a = 10.6 cm and a wall diagonal of 3.9 dm. We then inserted a 6 cm long cylinder with a diameter of 10 cm. How many liters of water overflowed? - Pebble
The aquarium is filled with two-thirds water with internal dimensions of the bottom 40 cm × 35 cm and a height of 30 cm. Calculate how many millimeters the water level in the aquarium rises by dipping a pebble-shaped sphere with a diameter of 18 cm. - Volumes 24771
The block and the cube have the same volumes = 216 cm³. The block has side lengths of b = 4 cm, c = 9 cm. Can they have the same side? - Calculate 26051
The base of the prism has the shape of a square with a side of 10 cm. The height of the prism is 20 cm. Calculate the height of a pyramid with a square base of 10 cm, which has four times the prism's volume.
- 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. - Cylindrical 7891
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?
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