Surface area and volume of prisms and cylinders

Front

What is surface area?

Back

The sum of all the areas of all the shapes that cover the surface of the object.

Front

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

Back

Total Surface Area = 2πr(h + r) where r is the radius and h is the height.

Front

What is the formula used to find the volume of a rectangular prism?

Back

V = Lwh, where L is length, w is width, and h is height.

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the total surface area of a rectangular prism?

Back

Total Surface Area = 2(lw + lh + wh), where l is length, w is width, and h is height.

Front

How do you calculate the volume of a triangular prism?

Back

Volume = (1/2 * base * height of triangle) * length of prism.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area that the surface of an object occupies, while volume measures the amount of space inside the object.

Front

If a cylinder has a radius of 5 inches and a height of 10 inches, what is its volume?

Back

V = π(5)²(10) = 250π in³ (approximately 785.4 in³).

Front

What is the total surface area of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

Total Surface Area = 2π(3)(7 + 3) = 60π cm² (approximately 188.5 cm²).