They are not except trivially. They are both geometric concepts, they both have an even number of letters of which every odd one is a consonant and the even ones are vowels, they both end in the letter "e".
The area of the base is a two-dimensional measure whereas volume is a three dimensional concept.
Two objects with the same base area can have totally different volumes - even if they have the same height. Consider, for example a cone and a cylinder with the same circular base.
Conversely, two shapes with the same volume can have totally different base area. Just consider a brick that is turned around so that a different face becomes its base.
Divide the volume by the base area to determine height.
Volume of a rectangular prism = base x height. If volume and height are known, solve for base area by dividing volume by height.
The volume is equal to the area of the base multiplied by the height. So, to find the height, just divide the volume by the area of the base.
Volume = 1/3*base area*height
Volume of a pyramid = 1/3*base area *height
Finding the volume of a cylinder is similar to finding the volume of a prism because both involve calculating the area of the base and then multiplying it by the height. In a cylinder, the base is a circle, so the formula for the area of a circle (πr²) is used. For a prism, the base can be any polygon, and you multiply the area of that base by the height of the prism. In both cases, the formula is Volume = Base Area × Height.
Volume = Base Area * Height So Height = Volume/Base Area
Volume of a rectangular prism is equal to the base area x height. (V=BxH or Volume = Base Area * Height) To get the base area, simply divide the volume by the height. (B=V/H or Base Area = Volume / Height)
Changing the area of the base of a prism directly affects its volume, as the volume is calculated by multiplying the base area by the height of the prism. If the area of the base increases while the height remains constant, the volume will also increase. Conversely, if the area of the base decreases, the volume will decrease. Thus, the volume is proportional to the base area for a given height.
Volume = base area x height so Base area = Volume / height. For example, if the volume is 10cm3 and the height is 2cm, 10/2=5, the base area must be 5cm2.
Volume = 1/3 * Base area * Height So Base area = 3 * Volume / Height
Volume = (height)(area base)
Divide the base area into the volume.
The base area * height = Volume
area
Divide the volume by the base area to determine height.
The volume of a cylinder is its height times the area of its base. And the area of its base is the area of a circular shape.