The image above represents a prism. To calculate the volume of a prism requires two essential parameters which are the base area and height of the prism.
The formula for computing the volume of a prism is:
V = Ah
Where:
V = Volume of the Prism
A = Base area of the Prism
h = Height of the prism
Let’s solve an example
Find the volume of a prism with a base area of 30 cm2 and a height of 8 cm.
This implies that:
A = base area of the prism = 30
h= = height of the prism = 8
V = Ah
So, V = 30 x 8
V = 240
Therefore, the volume of the prism is 240 cm3.
Calculating the Base area of a prism when Volume and Height are Given
The formula is A = V / h
Where;
V = Volume of the Prism
A = Base area of the Prism
h = Height of the Prism
Let’s solve an example:
Find the base area of a prism with a volume of 300 cm3Â and a height of 12 cm.
This implies that;
V = Volume of the prism = 300 cm3
h = height of the prism = 12 cm
That means, A =Â V / h
A =Â 300Â /Â 12
A =Â 25
Therefore, the base area of the prism is 25 cm2.
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Calculating the height of a prism when Volume and Base area are Given
The formula is h = V / A
Where;
A = Base area of the Prism
V = Volume of the Prism
h = Height of the Prism
Let’s solve an example:
Find the height of a prism with a volume of 280 cm3 and a base area of 35 cm2
This implies that;
V = Volume of the prism = 280 cm3
A = Base area of the prism = 35 cm2
So, h =Â V / A
h =Â 280Â /Â 35
h =Â 8
Therefore, the height of the prism is 8 cm.
How to Calculate the Volume of a Prism Using Nickzom Calculator
Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the volume of a prism.
To get the answer and workings of the volume of a prism using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.
You can get this app via any of these means:
Web – https://www.nickzom.org/calculator-plus
To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator
Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Mensuration under the Mathematics section.
Now, click on Volume of a Prism under Mensuration
The screenshot below displays the page or activity to enter your values, to get the answer for the volume of a prism according to the respective parameters which are the base area and height of the prism.
Now, enter the values appropriately and accordingly for the parameters as required by the example above where the base area of the prism is 30 cm2 and the height of the prism is 8 cm.
Finally, click on the Calculate button
As you can see from the screenshot above, Nickzom Calculator – The Calculator Encyclopedia solves for the volume of a prism and presents the formula, workings and steps too.
