# Cuboid diagonals

The cuboid has dimensions of 15, 20 and 40 cm. Calculate its volume and surface, the length of the body diagonal and the lengths of all three wall diagonals.

Correct result:

V =  12000 cm3
S =  3400 dm2
u1 =  25 dm
u2 =  42.72 dm
u3 =  44.7214 dm
s =  47.1699 dm

#### Solution:

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Tip: Our volume units converter will help you with the conversion of volume units.
Pythagorean theorem is the base for the right triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem:

## Next similar math problems:

• Volume per time
How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?
• Sand
How much m ^ 3 of sand can be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m ^ 3 .
• The wooden
The wooden block measures 12 cm, 24 cm, and 30 cm. Peter wants to cut it into several identical cubes. At least how many cubes can he get?
• Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm; 8.9 cm and 13.75 cm?
• Cargo space
The cargo space of the truck has the dimensions a = 4.2 m, b = 1.9 m, c = 8.1 dm. Calculate its volume.
• Zhiwei
Zhiwei wants to divide 19 litres of water equally into 6 pots. Find the volume of water in each pot?
• Angie
Angie poured 4 cartons of milk, each with 2.4 litres, into a mixing bowl. How many litres of milk were there altogether?
• Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the volume of the segment. What is the distance of the cutting plane from the center of the sphere?
• Aquarium
How many liters of water can fit in an aquarium measuring 30, 15 and 20 cm?
• Ice floe
What is the volume of an ice floe weighing 326 kg? The density of ice is only 920 kg/m3.
• The body
The body has dimensions of 2m 2dm and 10 cm. It weighs 28 kg. What is its density?
• Brick wall
What is the weight of a solid brick wall that is 30 cm wide, 4 m long and 2 m high? The density of the brick is 1500 kg per cubic meter.
• Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
• The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
• Solutions, mixtures
We have 2 liters of 20% solution available. How much 70% solution do we need to add to it to get a 30% solution?
• Long drive
Calculate how much it costs to drive 150,000 km with an average consumption of 7 liters per 100 km and a fuel price of 1.2 € / l.
• Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m3 of gas will fit in it?