Cuboid practice problems - page 3 of 39
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: 761
- Block dimensions
The volume of the block is 1000 cubic meters. Food b = 8m, food c = 12.5m. How long is the party and? - Water height
The bottom is 25m wide and 10m long, and there is 37640 hl of water. What height does the water reach? - Square height
The volume of the square is 56l. The length is 10 dm, and the width is 2 dm. What is its height? - Pool water
How many hectoliters of water can fit in a pool with bottom dimensions of 10 m and 20 m and a depth of 4 m? - Cuboid Dimensions Sum Edges
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. - 3rd dimension The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension?
- Cuboid enlargement
By how many percent increases the volume of the cuboid if every dimension increases by 30%? - 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? - Mats
How many m² of leatherette was used to produce five mats with dimensions of 2 m, 1 m, and 8 cm? - Block height calculation
What is the height of a block whose base edges are 12 centimeters long and 6 centimeters long if its volume is 360 cubic centimeters? - Water Tank Level
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level? - Surface of cuboid
Find the surface of the cuboid if its volume is 52.8 cm³ and the length of its two edges is 2 cm and 6 cm. - Water lake
The length of the lake water is 8 meters, width 7 meters, and depth 120 centimeters. How many liters of water can fit into the water lake? - 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? - 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? - Block volume dimensions
Calculate the volume of the block in dm³ S dimensions: a = 22cm b = 80dm c = 0.63m - Block width
What is the width of a block with volume V = 600 liters if a = 120cm, b = 50cm? - Cuboid edges
Calculate the volume and surface of a cuboid whose edge lengths are in the ratio 2:3:4 and the longest edge measures 10cm. - 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)?
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