Surface Area & Volume Rect/Triangular Prisms

Volume = length × width × height

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

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

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

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

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

Volume = 8 × 4 × 7 = 224 cubic inches

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

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

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.