Answer:
The volume of the rectangular prism is 512 inches³
Step-by-step explanation:
Any cube has 6 square faces
Area of any square = L × L, where L is a length of each side
The volume of the cube = L × L × L
∵ The area of the top face of a cube = 16 inches²
→ Find which number multiply by itself = 16
∵ 16 = L × L
∵ 16 = 4 × 4
∴ L = 4 inches
Let us find the volume of 1 cube
∵ The volume of the cube = L × L × L
∵ L = 4 inches
∴ The volume of each cube = 4 × 4 × 4
∴ The volume of each cube = 64 inches³
∵ We will use 8 of this cube to make a rectangular prism
→ That means the volume of the rectangular prism is 8 times
the volume of 1 cube
∴ The volume of the prism = 8 × volume of 1 cube
∵ The volume of each cube = 64 inches³
∴ The volume of the prism = 8 × 64
∴ The volume of the prism = 512 inches³
The volume of the rectangular prism is 512 inches³
