How to Calculate the Volume of a Block – Sinaumed’s certainly knows that in mathematics we can study several branches of knowledge in it, such as algebra, geometry, arithmetic, and so on. No exception with various kinds of shapes and wakes of space.
However, we will not discuss the branch of mathematics as a whole, ok Sinaumed’s. In this article, we will discuss how to calculate the volume of one of the geometric shapes.
Before that, did Sinaumed’s know what was included in the various geometric shapes?
Space structures include cubes, blocks, prisms, pyramids, cylinders, cones, and spheres. In general, these spatial shapes have formulas, characteristics, properties, and so on with their respective differences. Thus, this article will discuss one of the geometric shapes, namely the beam.
A beam is a type of three-dimensional geometric shape which is bounded by six sides, namely a rectangle. The beam also has six sides, eight vertices, and twelve ribs.
Meanwhile, the side planes on the beam are located in pairs and parallel to each other. The sides of the beam are length, width, height, with different lengths.
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We also encounter many blocks in everyday life, such as food boxes, erasers, fish bowls, drink boxes, bathtubs, shoe boxes, post boxes, books, cupboards, refrigerators, and so on.
Well, Sinaumed’s already knows what beams mean by reviewing previous articles, right? Next, we will find out how to calculate the volume of a cuboid. Listen to the end of the article below, Sinaumed’s!
Block Volume Formula
It is known that how to calculate the volume of a block is very simple and easy to remember. All you need to do is multiply the three sides of the block, namely length, width, and height.
Source: Kelasprogrammer.com (Google)
One of the most important things to note in calculating the volume of this block is to make sure the length on all sides is in the same unit. For example, the length of the beam is expressed in cm or m, then the width and height must also be expressed in cm or m so that correct and appropriate results are obtained.
Thus, the unit for the volume of a block is a unit of length squared or commonly known as a cubic. For example, cm3 (cubic centimeters), m3 (cubic meters), and so on.
In order for Sinaumed’s to better understand how to calculate the volume of a block, then consider the following examples of questions using the formula above.
Example Question 1
It is known that the length, width and height of a block are 3 cm, 2 cm and 4 cm respectively.
Wanted: calculate the volume of the block?
It is known that length = 3 cm, width = 2 cm, and height = 4 cm.
V = pxlxt
V = 3 x 2 x 4
V = 24 cm3
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Example Problem 2
A block is 10 m long, 2 m wide and 200 cm high.
Wanted: Calculate the volume of the block?
The way to solve the second example problem is basically the same as the previous problem, but the height of the block does not use the same units. Therefore, you must equate these units first so that they have the same units.
Length = 10 m
Width = 2 m
Height = 200 cm to 2 m
Then, enter in the formula v = pxlxt
V = 10 x 2 x 2
V = 40 m3
Example Problem 3
A cuboid has a length of 300 cm, a width of 10 cm and a height of 20 cm.
Asked: calculate how much is the volume of the block?
V = pxlxt
V = 300 x 10 x 20
V = 60,000 cm3
Example Problem 4
It is known that Budi has a pool in the form of a block with a length of 80 cm, a width of 60 cm and a height of 40 cm. In the pool, of course, will be filled with water.
Asked: how much water is needed to fill ⅔ of Budi’s pond?
It is known that the pond length (l) = 80 cm, width (l) = 60 cm, and height (t) = 40 cm.
Wanted: the volume of the block in the pool ⅔
V = ⅔ xpxlxt
V = ⅔ ( 80 cm x 60 cm x 40 cm)
V = ⅔ (192,000 cm3)
V = 128,000 cm3
So, the amount of water needed to fill ⅔ of Budi’s pond is 128,000 cm3.
Example Problem 5
Jojo wants to make a catfish pond in the form of a beam with a width of 40 cm, a length 3/2 times the width and a height of 4 catfish ponds more than that width.
Asked: How much volume in the catfish pond will Jojo need?
The width of the catfish pond (l) = 40 cm
The length of the catfish pond (l) = 3/2 x (l) = 3/2 x 40 = 60 cm
The height of the catfish pond (t) = (l) + 4 = 40 + 4 = 44 cm
Formula: v = pxlxt
V = 60cm x 40cm x 44cm
V = 105,600 cm3
So, the volume of the catfish pond that Jojo needs is 105,600 cm3.
Sinaumed’s can also read one of the following books entitled “Basic Mathematics” by Afidah Khairunnisa which contains information on the role of science and technology development as well as references and references for students or mathematicians in studying one of the geometric shapes or other mathematics. Get the book by clicking below, Sinaumed’s!
So, that’s the discussion in this one article about how to calculate the volume of a block along with several examples of problems related to the volume of a block. We hope that after reading this article, you can add insight and knowledge about how to calculate the volume of an unknown block.
Book Recommendations & Related Articles
If you are interested in finding some other information about how to calculate geometric shapes other than blocks, you can look for references to related books which are only available on the sinaumedia.com website , which are ready to become #Friends Without Limits in accompanying you in developing and moving forward every day. Happy learning and hopefully useful!
Author: Elsya Islamay