Surface Area and Volume

Front

What is Surface Area?

Back

The total area of the surface of a three-dimensional object.

Front

How do you calculate the Surface Area of a Rectangular Prism?

Back

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

Front

What is Volume?

Back

The amount of space occupied by a three-dimensional object, measured in cubic units.

Front

How do you calculate 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 Volume of a Triangular Prism?

Back

Volume = Base Area × Height.

Front

If a triangular prism has a base area of 12 cm² and a height of 4 cm, what is its volume?

Back

Volume = 12 cm² × 4 cm = 48 cm³.

Front

What is the formula for the Surface Area of a Cylinder?

Back

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

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 relationship between Surface Area and Volume?

Back

Surface Area measures the exterior, while Volume measures the interior space of an object.

Front

What is the Surface Area of a rectangular prism with dimensions 16 m (length), 10 m (height), and 11 m (width)?

Back

Surface Area = 2(16*10 + 16*11 + 10*11) = 892 m².