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

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?
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?
Mr. Franklin
As shown, Mr. Franklin built a new set of stairs to his side door. What is the total volume of Mr. Franklin's unique set of stairs?
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?
Calculate 21743
Calculate the block's volume in liters with edge lengths of 3dm, 15cm, and 120mm.
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.
A box 2
A box has a length of 4 1/2 inches, a width of 3 2/3 inches, and a height of 8 1/4 inches. What is the volume of the box?
The surface area
How much percent will the surface area of a 4x5x8 cm block increase if the length of the shortest edge is increased by 2 cm?
Hectoliters
How many hectoliters of water fit into the cuboid tank with dimensions of a = 3.5 m, b = 2.5 m c = 1.4 m?
Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water?
Dimensions 8111
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. Thank you luck
Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm.
Aquarium volume
The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =?, V = ?. What volume has a body if, after dipping into the aquarium water level rises by 28 mm?
Truck of milk
How many hectoliters of the box milk fit in the truck if the cargo size area is 2.8 m x 3 m x 17 m? A liter of milk in a box measuring 12 cm x 7 cm x 20 cm.
Hole
They fill the shape hole with dimensions 2.7 m, 20 m, 15.8 m with 282 m³ of soil. How much percent does it fill up?
Bricks
Brick has volume 2.4 dm³. How many bricks can drive a truck with a capacity of 15 ton? The density of brick is 2 g/cm³.

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