Surface Area & Volume Rect/Triangular Prisms

Front

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

Back

Volume = length × width × height

Front

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

Back

Surface Area = 2(length × width + length × height + width × height)

Front

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

Back

Volume = (1/2 × base × height of triangle) × length of prism

Front

What is the formula for the surface area of a triangular prism?

Back

Surface Area = (base × height of triangle) + (perimeter of base × length of prism)

Front

What does surface area represent in a real-world context?

Back

Surface area represents the total area of the outer surfaces of a 3D object, such as the amount of material needed to cover it.

Front

What does volume represent in a real-world context?

Back

Volume represents the amount of space occupied by a 3D object, such as how much liquid a container can hold.

Front

If a rectangular prism has dimensions 8 in, 4 in, and 7 in, what is its volume?

Back

Volume = 8 × 4 × 7 = 224 cubic inches

Front

If a triangular prism has a base area of 10 cm² and a height of 5 cm, what is its volume?

Back

Volume = (1/2 × base × height) × length = 10 × 5 = 50 cm³ (assuming length is 1 cm)

Front

What is the total surface area of a rectangular prism with dimensions 3 cm, 4 cm, and 5 cm?

Back

Surface Area = 2(3×4 + 3×5 + 4×5) = 2(12 + 15 + 20) = 2(47) = 94 cm²

Front

How do you determine if a box fits in a space based on volume?

Back

Compare the volume of the box to the maximum volume allowed in the space. If the box's volume is less than or equal to the maximum, it fits.