Cuboid practice problems - page 3 of 38
Key Formulas for a Cuboid:1. Volume (V)
V = l × w × h
*The space occupied by the cuboid.*
2. Surface Area (S)
S = 2(lw + lh + wh)
*The total area of all six faces.*
3. Space Diagonal (d)
d = √l2 + w2 + h2
Space diagonal is the longest diagonal running through the interior of the cuboid.
Number of problems found: 758
- 3rd dimension
The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension? - Fe vs. H2O
The volume of what the body of the same weight is greater: iron or water? - Pool 3
When it flows 15 liters/s, how long will the filled pool be in cuboid shape (8m 6m 1.5m)? - Wood planks
One m³ of wood planks costs 204 EUR. How much will I pay for 14 planks measuring 7 cm, 8 cm, and 4 m? - Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower? - Cuboid - edges
The sum of all edges cuboid is 31 meters. However, the width is twice shorter as the length, and the height is seven times longer than the width. Determine the dimensions of the cuboid. - Tank
The tank bottom has dimensions of 1.5 m and 4 1/2 m. The tank is 379 hl of water. How high is the water surface? - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Building
Lenka has 22 cubes for constructing a building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build a building with these cubes? - Centimeters 4178
Find the surface of a block whose one wall is 48 centimeters square and the other wall is 30 centimeters square. - Third dimension
Calculate the third dimension of the cuboid: a) V = 224 m³, a = 7 m, b = 4 m b) V = 216 dm³, a = 9 dm, c = 4 dm - A rectangular 7
A rectangular water tank has a square base of 90 cm on its side. If it is 300 cm high, how much water can it hold? - Mats
How many m² of leatherette was used to produce five mats with dimensions of 2 m, 1 m, and 8 cm? - Water 62
The water tank filled with 1/5 of water is in the shape of a cuboid with a height of 80 cm and a base measuring 30 cm x 40 cm. What is the height of the water level in the tank? - Water reservoir
The water tank has a cuboid with edges a = 1 m, b = 2 m, and c = 1 m. If we fill fifteen 12-liter cans, how many centimeters of water will fall? - Living room
How many people can live in a room with dimensions a = 4m, b = 5m, c = 2.5m if one person needs 15m cubic space (e.g., air)? - Calculate 21743
Calculate the block's volume in liters with edge lengths of 3dm, 15cm, and 120mm. - Measuring 2747
We poured 1 liter of water into an aquarium measuring 20 cm x 20 cm and 25 cm high. How high does the water in the aquarium reach? - Water level
In the pool, which is 15 m long, 6 m wide, and 2 m deep, the water level is 20 cm below the edge. How many hectoliters of water are in the pool? - Swimming pool 5
A rectangular inflatable swimming pool is 3 yards long, 2 5/8 yards wide, and 1 3/5 yards tall. What is the volume of the pool? Round the result to the nearest tenth.
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