Surface Area of Prisms & Cylinders

SA = Ph + 2B, where P is the perimeter of the base and B is the area of the base.

SA = 2πr(h + r), where r is the radius and h is the height.

Lateral surface area is the area of the sides of a 3D shape, excluding the top and bottom.

Lateral Surface Area = Perimeter of the base (P) × Height (h).

π is commonly approximated as 3.14.

SA = 2πr(h + r) = 2π(3)(10 + 3) = 246 cm².

Surface area measures the total area of the surface of a 3D object, while volume measures the amount of space inside the object.

Area = 1/2 × base × height.

SA = (base area × 2) + (perimeter of base × height).

SA = 2(lw + lh + wh) = 2(4*3 + 4*5 + 3*5) = 94 in².