Surface Areas of Prisms
Cube:
6 x breadth x Height
Triangular Prism:
(Breadth x Height) + (3 x Length x Breadth)
Square Pyramid:
(2 x Breadth x Height) + (Breadth x Breadth)
Cylinder:
(2 x Pi x radius x Length) + (2 x Pi x Radius x Radius)
Cone:
(Pi x Radius x Height) + (Pi x Radius x Radius)
Sphere:
Pi x Radius x Radius x 4
By Austin from a Christian school in Belrose
To calculate the surface area of the equilateral triangular-based prism, you need to calculate the area of the equilateral triangle and all the other sides of the prism. The total area of all the phases will give the total surface are of an equilateral triangular based prism.
To calculate the surface area of a rectangular prism, you can use the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height. You need the dimensions of the prism to compute the exact surface area. If you provide those dimensions, I can help you calculate it!
Surface area = 2ab + 2bc + 2ac
To calculate the surface area of a rectangular prism, you can use the formula: Surface Area = 2(lw + lh + wh), where l is the length, w is the width, and h is the height. You need to know the dimensions of the prism to find the total surface area. If you provide the specific measurements, I can help you calculate it further.
Find the area of each face separately and then add them together for the total surface area.
To find the surface area of a prism using pi, you first calculate the area of the base shape, which may involve circular areas if the base is a circle or a shape with circular components. Multiply the base area by the number of bases in the prism (usually two for most prisms). Then, calculate the lateral surface area by finding the perimeter of the base and multiplying it by the height of the prism. Finally, add the base area and lateral surface area to get the total surface area.
Formula: S = 2B + L
Assuming you mean a rectangular prism, you get the smallest surface area if the prism is a cube. You can calculate the required length of side to get that volume; then, based on that, the corresponding surface area.
To find the surface area of a prism, calculate the area of its two bases and the area of its rectangular faces. For a prism with circular bases, use the formula for the area of a circle, A = πr² (where π is approximately 3.14), to find the area of one base and multiply by 2. Then, calculate the lateral surface area by finding the perimeter of the base and multiplying it by the height of the prism. Finally, add the areas of the bases and the lateral surfaces together to get the total surface area.
you calculate the area of one side, then multiply it by three.
To calculate the lateral area of a pentagonal prism, first determine the perimeter of the pentagonal base (P) and the height (h) of the prism. The formula for the lateral area (LA) is given by ( LA = P \times h ). Multiply the perimeter of the base by the height to get the total lateral surface area of the prism.
You can think of a square prism as a die, having six sides. So you need the length of one side, 's'. That side's [surface] area is s2 With six sides, the cube's surface area is simply: 6s2