Cuboid practice problems - page 23 of 38

Number of problems found: 758

Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid.
Container
The container-shaped box with internal dimensions of 3.9 m, 3.25 m, and 2.6 m was completely filled with goods in the same cubic boxes. How long edge could this box have?
Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
Dimensions 7932
The volume of the block is 5760 cm³. For the dimensions of a given block, a: b = 4:3, b: c = 2:5 Calculate its surface.
Cube-shaped 2751
What weight will a cube-shaped concrete base with an edge length of 10 m have if one concrete cube weighs 2200 kilograms?
Water level
The glass container has a cuboid shape, with dimensions at the bottom of 24 cm and 12 cm. The height of the water is 22 cm. Calculate the body's volume sunk into the water if the water level rises by 3 cm.
The glass
1 m³ of glass weighs 2600 kg. Calculate the weight of the glass glazing panel with dimensions of 2.5 m and 3.8 m if the thickness of the glass is 0.8 cm.
Hectoliters
How deep is the pool if there are 2025 hectoliters of water, the bottom dimensions are a = 15 meters b = 7.5 meters, and the water level is up to 9/10 (nine-tenths) of the height?
Quadrilateral 81975
The lime pit has the shape of a quadrilateral prism with dimensions of 2m, 1.8m, and 1.5m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit.
Density 6184
What is the weight of the glass door panel if it is 5 mm thick, 2.1 m high, and 6.5 d wide? The density of glass is 2.5 kg/dm³.
Cuboid walls
Calculate the cuboid volume if its different walls have an area of 195cm², 135cm², and 117cm².
How much
How much money will we pay for 20 planks 4m long, 15cm wide, and 26mm thick when 1m³ of wood costs 4500kč?
Ice + water
A rectangular ice rink measuring 60 m by 30 m had a layer of ice 3 cm high. How many liters of water were used to create the ice?
Hectoliters 48941
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool?
Volumes 7252
The block and the cube have the same volumes of 512 cm³, and the block has edge lengths of b = 6.4 cm and c = 10 cm. Can a cube and a block have the same edge length?
Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
Centimeters 82219
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters?
Dimensions 67554
The chest freezer has dimensions (w * h * d) 79.5 * 87.6 * 66.5 cm. Its useful volume is 210 liters. What percentage of the total freezer volume is the usable volume?
Dimensions 6263
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank.
Concreted
The tank of a biological treatment plant has the shape of a cylinder with a base diameter of 2.5m. It is usually filled to four-fifths of its volume. What is the volume of the treatment plant if its height is 2.8m? The treatment plant container is placed

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