Review for Flashcard (surface area and volume)

Front

What is the formula for the surface area of a square pyramid?

Back

Surface Area = Base Area + 1/2 * Perimeter of Base * Slant Height

Front

What is the formula for the volume of a cone?

Back

Volume = 1/3 * π * r² * h

Front

How do you calculate the surface area of a cone?

Back

Surface Area = π * r * (r + l) where l is the slant height.

Front

What is the relationship between surface area and volume?

Back

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

Front

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

Back

Surface Area = 6 * (side length)² = 6 * 4² = 96 cm².

Front

If a cone has a radius of 3 cm and a height of 4 cm, what is its volume?

Back

Volume = 1/3 * π * 3² * 4 = 12π ≈ 37.7 cm³.

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

How do you find the volume of a rectangular prism?

Back

Volume = length * width * height.

Front

What is the surface area of a sphere with a radius of 5 cm?

Back

Surface Area = 4πr² = 4π(5)² = 100π ≈ 314.16 cm².

Front

What is the volume of a sphere with a radius of 5 cm?

Back

Volume = 4/3 * πr³ = 4/3 * π(5)³ = 500/3π ≈ 523.6 cm³.