# The cuboid

The cuboid is filled to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?

Result

V =  514.25 l

#### Solution:

$a = 95 \ cm = 95 / 10 \ dm = 9.5 \ dm \ \\ b = 120 \ cm = 120 / 10 \ dm = 12 \ dm \ \\ c = 60 \ cm = 60 / 10 \ dm = 6 \ dm \ \\ \ \\ d = 5 \ cm = 5 / 10 \ dm = 0.5 \ dm \ \\ \ \\ V = (a-2 \cdot \ d) \cdot \ (b-2 \cdot \ d) \cdot \ (c-d) = (9.5-2 \cdot \ 0.5) \cdot \ (12-2 \cdot \ 0.5) \cdot \ (6-0.5) = \dfrac{ 2057 }{ 4 } = 514.25 = 514.25 \ \text { l }$

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### Following knowledge from mathematics are needed to solve this word math problem:

Do you know the volume and unit volume, and want to convert volume units?

## Next similar math problems:

1. Concrete box The concrete box with walls thick 5 cm has the following external dimensions: length 1.4 m, width 38 cm and height 42 cm. How many liters of soil can fit if I fill it to the brim?
2. Water pool What water level is in the pool shaped cuboid with bottom dimensions of 25 m and 10 meters, when is 3750hl water in the pool.
3. Hectoliters How many hectoliters of water fits into cuboid tank with dimensions of a = 3.5 m b = 2.5 m c = 1.4 m?
4. Aquarium The box-shaped aquarium is 40 cm high; the bottom has dimensions of 70 cm and 50 cm. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge
5. Wood prisms How many weight 25 prisms with dimensions 8x8x200 cm? 1 cubic meter of wood weighs 800 kg.
6. Digging A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions 40m X 30m. What is the increase in the level of the plot ?
7. 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?
8. Rainwater The garden area of 800 square meters fell 3mm of rainwater. How many 10 liters of water can we water this garden equally?
9. Reservoir 3 How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
10. 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?
11. Swimming pool 4 The pool shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level?
12. Cuboid aquarium Cuboid 25 times 30 cm. How long is third side if cuboid contains 30 liters of water?
13. Flowerbed The flowerbed has a length 3500mm and a width 1400mm. How many foil is needed to covers the flowerbed? How many m2 of foil was consumed for its production (add 10% of the material to the joint and waste)? How many liters of air is inside the enclosure? (F
14. Truck of milk How many hectoliters of ,,the box" milk fit in the truck, ake 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.
15. Two cuboids Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
16. Railway wagon The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
17. Conva How many liters of water fit into the shape of a cylinder with a bottom diameter 20 cm and a height 45 cm?