Surface Area Review

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

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

Front

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

Back

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

Front

What is the formula for the surface area of a cone?

Back

Surface Area = πr(r + l), where r is the radius and l is the slant height.

Front

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

Back

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

Front

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

Back

Surface Area = bh + l1h + l2h + l3h, where b is the base, h is the height, and l1, l2, l3 are the lengths of the sides.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's outer surface.

Front

How do you find the volume of a composite shape?

Back

Calculate the volume of each individual shape and then sum them up.

Front

What is the relationship between the radius and height of a cone and a cylinder with the same base and height?

Back

The cone's volume is one-third of the cylinder's volume.

Front

What is the total surface area of a cylinder with a radius of 3 cm and height of 5 cm?

Back

Surface Area = 2π(3)(5 + 3) = 150.8 cm².