Surface Area of Prisms & Cylinders

Front

What is the formula for the total surface area of a prism?

Back

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

Front

What is the formula for the total surface area of a cylinder?

Back

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

Front

Define lateral surface area.

Back

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

Front

How do you calculate the lateral surface area of a prism?

Back

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

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its total surface area?

Back

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

Front

What is the difference between surface area and volume?

Back

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

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

How do you find the surface area of a triangular prism?

Back

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

Front

What is the total surface area of a rectangular prism with length 4 in, width 3 in, and height 5 in?

Back

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