Answer:
Volume of one prism; (1/16) unit³
Step-by-step explanation:
The given volume of the cube, v₁ = 1 unit cube
The height of the unit cube, h₁ = 1 unit
The length of the unit cube, w₁ = 1 unit
The height of the unit cube, l₁ = 1 unit
The number of identical prism located along the height = 2 identical prism
The number of identical prism located along the width = 2 identical prism
The number of identical prisms located along the length = 4 identical prism
Therefore;
The height of each identical rectangular prism that make up the unit cube, h₂ = h₁/2 = 1/2 unit
Similarly, for each identical rectangular prism, we have;
The width, w₂ = w₁/2 = 1/2 unit
The length, l₂ = l₁/4 = 1/4 unit
The volume of each one of the identical rectangular prism, v₂ = h₂ × w₂ × l₂
∴ v₂ = 1/2 unit × 1/2 unit × 1/4 unit = 1/16 unit³
The volume of one of the identical rectangular prisms = (1/16) unit³.
