Volume and Weight Calculation of Spheres, Cuboids and Cubes

Many things have fundamental shapes, such as spheres, cuboids, or cubes, and we may readily compute their volume and surface area using well-known equations. But have you ever considered what would happen if these fundamental shapes combined to make a shape that differed from the initial? So, how do we compute the new shape’s capacity? The article that follows sheds more information on the subject. You will know how to calculate the weight and volume of these cubes, cuboids, and spheres.

Mass/Weight Calculator for Cubes

The amount of space a thing occupies in length, width, and height is measured in cubic volume. Knowing the exact cubic volume of your item is critical since it reveals how much room it will take up and may affect shipping prices. In addition, it is a crucial factor to consider when evaluating the density of a shipment, which helps decide freight class.

To calculate the cubic volume of your package, use this free online cube calculator. In feet, inches, millimeters, or meters, simply enter the length, height, and breadth. If you have more than one comparable item, you could also adjust the computation quantity. The cube calculator will take your shipment’s measurements and calculate the total shipping volume.

How to Compute the Weight of A Cube?

Weighing a cube on a scale is considered the easiest technique to calculate its weight. Having said that, the basic features of a cube allow for the determination of its mass using density and volume measurements. In a usual context, the weight of an object is identical to its mass since the force of gravity on the thing is assumed in the computations. Calculating the weight of a cube could also be as effortless as a few arithmetic steps.

Firstly, one side of the cube should be measured. A cube is a shape with equal length, breadth, and height. Measuring one side yields measurements for all of these factors. One side, for instance, is 5 cm long.

Calculating the volume of the cube is very simple, just by raising the measurement of a side to the third power. Accordingly, a cube’s volume is calculated by multiplying the length by the width and, after that, by the height. Because all three measures are the same, the calculation yields one side cubed as the output. 53, for instance, is 125 cm3.

Divide the volume by the specific density to get the mass per volume. For those who don’t know, d Density is defined as mass (or weight) divided by volume. When that formula is rearranged, mass simply equals density multiplied by volume. A cube’s density, for instance, is 10 gms per cm3. That multiplied by 125 cm3 equals 1.25 kg or 1,250 gms.

The Density of Different Popular Materials

Material	Density in lb/us gal	Density in oz/in3	Density in lb/in3	Density in oz/us gal	Density in kg/m3
Aluminum	22.55	1.56	0.097	361.80	2,700
Brass	70.98	4.91	0.307	1139.00	8,500
Bronze	72.90	5.05	0.315	1169.82	8,730
Caesium	15.87	1.1	0.069	254.60	1,900
Calcium	12.86	0.89	0.056	206.36	1,540
Carbon	29.31	2.03	0.127	470.34	3,510
Cast iron	60.54	4.19	0.262	971.50	7,250
Cement	25.47	1.76	0.110	408.70	3,050
Chrome	59.62	4.13	0.258	956.76	7,140
Coal	11.27	0.78	0.049	180.90	1,350
Cobalt	74.23	5.14	0.321	1191.26	8,890
Concrete heavy	20.04	1.39	0.087	321.60	2,400
Concrete medium	17.54	1.21	0.076	281.40	2,100
Copper	74.48	5.16	0.322	1195.28	8,920
Cork	4.18	0.29	0.018	67.00	500
Crushed stone	15.03	1.04	0.065	241.20	1,800
Diamond	29.31	2.03	0.127	470.34	3,510
Firewood beech	6.10	0.42	0.026	97.82	730
Firewood oak	7.18	0.5	0.031	115.24	860
Firewood spruce	3.92	0.27	0.017	62.98	470
Glass	21.29	1.47	0.092	341.70	2,550
Gold	161.32	11.17	0.697	2588.88	19,320
Grate	42.59	2.95	0.184	683.40	5,100
Iodine	41.25	2.86	0.178	661.96	4,940
Iron	65.71	4.55	0.284	1054.58	7,870
Light concrete	15.03	1.04	0.065	241.20	1,800
Lithium	4.43	0.31	0.019	71.02	530
Magnesium	14.53	1.01	0.063	233.16	1,740
Manganese	62.12	4.3	0.269	996.96	7,440
Mercury	113.14	7.83	0.489	1815.70	13,550
New snow (pasty)	1.67	0.12	0.007	26.80	200
New snow (powdery)	0.50	0.03	0.002	8.04	60
Nickel	74.40	5.15	0.322	1193.94	8,910
Phosphor	15.20	1.05	0.066	243.88	1,820
Plaster	19.21	1.33	0.083	308.20	2,300
Platinum	179.11	12.4	0.774	2874.30	21,450
Plumb	94.69	6.55	0.409	1519.56	11,340
Plutonium	164.83	11.41	0.713	2645.16	19,740
Polystyrene	0.25	0.02	0.001	4.02	30
Rubber	8.77	0.61	0.038	140.70	1,050
Sandstone	20.04	1.39	0.087	321.60	2,400
Silicone	19.46	1.35	0.084	312.22	2,330
Silver	87.59	6.06	0.379	1405.66	10,490
Sodium	8.10	0.56	0.035	129.98	970
Steel	65.55	4.54	0.283	1051.90	7,850
Sulfur	17.20	1.19	0.074	276.04	2,060
Tin	60.87	4.21	0.263	976.86	7,290
Titanium	37.66	2.61	0.163	604.34	4,510
Uranium	159.07	11.01	0.688	2552.70	19,050
Vanadium	50.85	3.52	0.220	816.06	6,090
Wax	7.85	0.54	0.034	125.96	940
Zinc	59.62	4.13	0.258	956.76	7,140

Cuboid Volume

Generally speaking, the volume of a cuboid is basically the quantity used to quantify the amount of area in a cube shaped or cuboid. The cuboid, as you might all know, is a three-dimensional shape that we see all the time. In this part, I will discover how to calculate the volume of a cuboid. In addition, you will learn how to calculate the volume of a cuboid using a rectangle sheet and how to use the formula. Once you have mastered this part, you will definitely be able to solve issues involving the volume of a cuboid.

So, What is Exactly the Cuboid Volume?

In general, a cuboid’s volume is the amount of space covered by a cuboid. The cuboid is basically a three-dimensional shape with dimensions of length, width, and height. So, if we start with a rectangle sheet and keep stacking them, we will create a shape with some height, breadth, and length.

The sheets’ stack resembles a cuboid because it has six faces, eight vertices, and twelve edges. The volume’s metric units are generally cubic centimeters or cubic meters, whereas the US Customary System (also known as USCS) volume units are typically measured in cubic feet or cubic inches.

Because a cuboid’s volume is determined by its height, breadth, and length, changing any of these parameters alters the volume of the shape.

The formula for A Cuboid’s Volume

The basic formula for a cuboid’s volume might be obtained from the rectangle sheet notion. Let’s call the surface of a rectangle sheet of paper ‘X,’ the height to which they can be stacked ‘h,’ and the cuboid’s volume ‘V.’ The cuboid’s volume is then calculated by multiplying the height by the base area.

Cuboid volume = Height x Base Area

The base area of a cuboid is equal to b x l

As a result, the volume of a cuboid will be as follows: V = h x b x l = hbl

How to Calculate A Cuboid’s Volume? (with Example)

In general, a cuboid’s volume is the amount of space occupied by a cuboid. As mentioned above, a cube is formed when all three dimensions of a cuboid are equal. A cuboid’s volume can be computed using the volume of a cuboid formula. And the steps for calculating the volume of a cuboid are as follows:

1. Determine whether the cuboids’ dimensions are in the same units. Or else convert the measurements to the same units.
2. When the dimensions are all in the very same units, double the cuboid’s height, breadth, and length.
3. After finding the value, write down the unit.

Let me use an example to help you understand more about how to use the equations to determine the volume of a cuboid.

Example: Determine the volume of a cuboid with dimensions of 7 inches long, 6 inches wide, and 3 inches high.

Solution: We all know that the volume of a cuboid, V = hbl

In this case, h = 3 inches, b = 6 inches, and l = 8 inches

Therefore, the volume of a cuboid, V = hbl = (3x8x6) in³ and V = 144 in³.

The cuboid has a volume of 144 in³.