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
- Water height
The bottom is 25m wide and 10m long, and there is 37640 hl of water. What height does the water reach? - 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? - 3rd dimension
The block has a surface of 42 dm2, and its dimensions are 3 dm and 2 dm. What is the third dimension? - Block volume dimensions
Calculate the volume of the block in dm³ S dimensions: a = 22cm b = 80dm c = 0.63m - 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 - Block width
What is the width of a block with volume V = 600 liters if a = 120cm, b = 50cm? - Flower boxes
How many m² of 10mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm. - 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? - Cuboid
Cuboid has a surface of 516 cm². Side a = 6 cm and b = 12 cm. How long is the side c =? - 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? - In an aquarium 3
In an aquarium 60cm long and 30cm wide, water is poured to a height of 25cm. Determine the mass of the water in the aquarium. - 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. - 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?
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