The expression for the volume of the prisms in terms of d is 4d².
What is a volume?
Volume is the amount of space occupied by a three dimensional shape or object. For a rectangular prism:
Volume = length * width * height
From the diagram, length = 4, width = d, height = d. Hence:
Volume = 4 * d * d = 4d²
When d = 1: Volume = 4(1)² = 4
When d = 2: Volume = 4(2)² = 16
When d = 1/2: Volume = 4(1/2)² = 1
The expression for the volume of the prisms in terms of d is 4d².
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