Surface Area, Volume, and Cross Sections Flashcard

Front

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

Back

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

Front

How do you calculate the surface area of a cube?

Back

Surface Area = 6s², where s = length of a side.

Front

What is the definition of volume?

Back

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

Front

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

Back

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

Front

What cross-section is created when a cylinder is cut parallel to its base?

Back

Circle.

Front

What is the formula for the volume of a cube?

Back

Volume = s³, where s = length of a side.

Front

How do you find the surface area of a sphere?

Back

Surface Area = 4πr², where r = radius.

Front

What is the cross-section of a cone when cut parallel to its base?

Back

Circle.

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3)πr³, where r = radius.

Front

What is the relationship between surface area and volume in three-dimensional shapes?

Back

Surface area measures the total area of the surface, while volume measures the space inside the shape.