Let V be the Volume of the Prism
b be the base
h be the altitude
L be the length of the prism
Equation :
V=½bhL
to find h :
2V=bhL -divide bL to both sides
so we get
h=2V / bL
just simple algebra ..
SA = BA + ph SA = BA + LA because LA = ph (perimeter x height)
The formula for the area of a triangle is: A=b*(1/2)h Where A is area, b is the base, and h is the height. So for your question, the expression gives the height of 6 and a base of n. Replacing these in the formula gives you: A=n*(1/2)6 A=3n, after reducing.
The volume of a cylinder can be determined by using the formula πr2h, where r is the radius of the base of the cylinder and h is the height. For example, if you have a cylinder with a base radius of 6 and a height of 12, the formula would be π(6)2(12) = π(36)(12) = 432π = ~1,357.168 units.
The formula to find the volume of a right cylinder is height times area of the circular base. This volume in cubic feet is then multiplied by 7.48 to find the number of gallons.
The formula Pi x r^2 x h is used to calculate the volume of a cylinder, where "Pi" represents the mathematical constant approximately equal to 3.14159, "r" is the radius of the base of the cylinder, and "h" is the height of the cylinder. To find the volume, you square the radius (r^2), multiply it by Pi, and then multiply the result by the height (h). The formula is derived from the formula for the area of a circle (Pi x r^2) multiplied by the height of the cylinder.
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.
The relevant formula will depend on what information is available to you.
the volume of a rectangular prism
The formula for finding the surface area of a rectangular prism is 2(wh + lw + lh), where w is width, h is height, and l is length. 3.14 is the value for pi, which is only used for circular objects, like circles, cylinders, and spheres. It has nothing to do with rectangular prisms. Click on the related link below for an illustration of the formula for the surface area of a rectangular prism.
The base area * height = Volume
The formula used to determine the volume of a triangular prism is v = 1/2 (length)(width)(height). v= 1/2 (lwh)
false. half the base times the height of the triangle times the length the prism. 1/2*base*height*length. remember to keep the same units.
The volume formula of a square prism is a^3. The specifications given will not allow for the square prism formula to be used. Instead, it would require using the rectangular prism formula which is abc. With the given specifications, the formula would be 14 x14 x 8. The solution would be 1,568 inches^3.
The answer depends on what information you are given: (volume, breadth and height), (surface are, breadth and height), (principle diagonal, breadth and height), (mass, density, breadth and height) or some other set.
Multiplication is used to find the volume of a rectangular prism because volume measures the amount of space inside the prism, which can be calculated by determining how many unit cubes fit within it. The volume formula for a rectangular prism is length × width × height, which combines the three dimensions of the prism. This multiplication accounts for the area of the base (length × width) and then extends it vertically by the height, effectively stacking layers of the base area to fill the prism. Thus, using multiplication provides a straightforward way to calculate the total volume.
The formula for finding the volume for all prisms is area of cross section _ length. Also this formula can be used: length by its width by its height (l _ w _ h).
surface area=(perimeter of base)x(height of the shape)+(area of the base)x(2)