Surface Area and Volume of Rectangular 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 surface area of a rectangular prism?

Back

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

Front

What is the formula for the volume of a rectangular prism?

Back

Volume = l × w × h, where l = length, w = width, h = height.

Front

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

Back

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

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r = radius, h = height.

Front

If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 2 cm, what is its volume?

Back

30 cm³.

Front

What is the total surface area of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

315.16 in² (rounded to nearest hundredth).

Front

What is the difference between surface area and volume?

Back

Surface area measures the total area of the object's surface, while volume measures the amount of space inside the object.

Front

How do you find the surface area of a cube?

Back

Surface Area = 6a², where a = length of a side.

Front

What is the volume of a cube with a side length of 4 cm?

Back

64 cm³.