Volume of a Cube
Length x Breadth x Height
Volume of a Triangular Prism
(Length x Breadth x Height) divided by 2
Volume of a Square Pyramid
(Length x Breadth x Height) divided by 3
Volume of a Cylinder
(Pi x Radius x Radius x Length)
Volume of a Cone
(Pi x Radius x Radius x Height) divided by 3
Volume of a Sphere
(Pi x Radius x Radius x Radius x 4) divided by 3
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By Austin From Covenant Christian School
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The formula for the volume of a prism is V = Bh, where V is the volume, B is the area of the base of the prism, and h is the height of the prism.
That depends on the type of prism. For finding the volume of a rectangular prism, multiply the length by the width then by the height.
The simplest way is area of the base x height.
So if the prism has a triangle base (0.5*b*w)*h;
a rectangular base, Volume = w x b x h
the volume of a prism where the planes of the two triangles are parallel is:
area of base *absolute height. the base is a triangle, which has an area of base*height.
Sphere: 4 x Pi x radius x radius x radius / 3
Cylinder: Pi x radius x radius x height
Cone: Pi x radius x radius x height / 3
Cube/Cuboid: Length x Width x Height
The formula for the volume of a prism is V = Bh, where V is the volume, B is the area of the base of the prism, and h is the height of the prism.
The formula for calculating the volume of an octagonal prism is V = A * h, where A is the area of the base (octagon) and h is the height of the prism. The area of the base can be calculated using the formula for the area of a regular octagon: A = 2(1 + √2) * s^2, where s is the side length of the octagon.
If a rectangular prism and a triangular prism have the same length, width, and height, then their volumes are equal. This is because although the shapes are different, they both occupy the same amount of space if their dimensions are the same. The formula for calculating volume is length x width x height for both shapes, resulting in equal volumes.
To find the volume of a prism, multiply the area of the base by the height of the prism. The volume is typically expressed in cubic units. So, if the prism is in inches, the volume would be in cubic inches.
V=Area of the base*Height. The base is one of the two congruent faces of a prism. For example, in the picture attached, the base would be the five-sided face (pentagon) in a, and the triangle in b. The height would be the measurement of any of (they're all the same) the remaining sides that are not a part of the bases.