Volume and Surface Area

Front

What is Volume?

Back

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

Front

How do you calculate the volume of a cube?

Back

Volume of a cube = side length × side length × side length (V = s³).

Front

What is Surface Area?

Back

Surface area is the total area of the surface of a three-dimensional object, measured in square units.

Front

How do you calculate the surface area of a cube?

Back

Surface area of a cube = 6 × (side length × side length) (SA = 6s²).

Front

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

Back

Volume of a rectangular prism = length × width × height (V = l × w × h).

Front

If each edge of a cube measures 1/2 inch, what is the volume?

Back

Volume = (1/2) × (1/2) × (1/2) = 1/8 in³.

Front

How many 1/2-cm cubes fit in a prism with a volume of 20 cm³?

Back

40 cubes (20 cm³ ÷ (1/2 cm)³ = 40).

Front

What is the volume of a prism with a base area of 10 cm² and a height of 4 cm?

Back

Volume = base area × height = 10 cm² × 4 cm = 40 cm³.

Front

What is the relationship between volume and surface area?

Back

Volume measures the space inside an object, while surface area measures the area covering the outside.

Front

What is the volume of a cube with a side length of 8 cm?

Back

Volume = 8 cm × 8 cm × 8 cm = 512 cm³.