how to find the area of a square prism

Surface Area Formulas

(Math | Geometry | Surface Area Formulas)

(pi = = 3.141592...)

Surface Area Formulas
In general-purpose, the surface area is the sum of all the areas of all the shapes that cover the surface of the object.

Cube | Rectangular Prism | Prism | Sphere | Cylinder | Units

Observe: "ab" agency "a" multiplied past "b". "a²" means "a squared", which is the synoptical as "a" multiplication "a".

Represent careful!! Units calculate. Apply the same units for whol measurements. Examples

Surface Area of a Cube = 6 a ²

(a is the duration of the side of each butt on of the cube)

In words, the surface area of a cube is the area of the six squares that cover it. The area of i of them is a*a, or a ² . Since these are complete the same, you seat multiply one of them past six, so the surface area of a cube is 6 times one of the sides squared.

Area of a Angulate Prism = 2ab + 2bc + 2ac

(a, b, and c are the lengths of the 3 sides)

In run-in, the surface area of a rectangular optical prism is the orbit of the vi rectangles that cover it. But we put on't have to figure out all six because we recognize that the top and bottom are the same, the front man and back are the synoptical, and the left and right sides are the indistinguishable.

The surface area of the uppermost and bottom (side lengths a and c) = a*c. Since there are two of them, you get 2ac. The front and back have side lengths of b and c. The area of one of them is b*c, and there are two of them, so the surface area of those two is 2bc. The left and right side of meat have side lengths of a and b, so the expanse of one of them is a*b. Once again, there are two of them, so their combined surface field is 2ab.

Expanse of Any Optical prism

(b is the shape of the ends)

Surface Area = Lateral sphere + Area of two ends

(Distal expanse) = (perimeter of shape b) * L

Surface Orbit = (perimeter of shape b) * L+ 2*(Area of bod b)

Skin-deep Area of a Sphere = 4 pi r ²

(r is radius of rophy)

Surface Area of a Cylinder = 2 pi r ² + 2 pi r h

(h is the peak of the cylinder, r is the radius of the teetotum)

Surface Area = Areas of uppermost and bottom +Area of the slope

Expanse = 2(Area of top) + (perimeter of top)* height

Surface Sphere = 2(pi r ²) + (2 pi r)* h

In run-in, the easiest way is to entertain a can. The opencast area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps around the middle.

You can encounte the area of the top (operating room the bottom). That's the expression for area of a circle (pi r²). Since there is both a overstep and a arse, that gets increased away two.

The side is like the label of the fundament. If you peel it off and lay it matt it will be a rectangle. The area of a rectangle is the merchandise of the two sides. One go with is the height of the can, the other side is the perimeter of the circle, since the label wraps once more or less the can. So the area of the rectangle is (2 pi r)* h.

Add those two parts together and you have the formula for the control surface area of a cylinder.

Surface Surface area = 2(private eye r ²) + (2 shamus r)* h

Tap! Don't forget the units.

These equations will give you correct answers if you keep the units guileless. E.g. - to find the surface area of a square block with sides of 5 inches, the equation is:

Area = 6*(5 inches)²

= 6*(25 quadrate inches)

= 150 sq. inches

how to find the area of a square prism

Source: http://www.math.com/tables/geometry/surfareas.htm