Final answer:
The volume of the pyramid with a rectangular base of dimensions 2 cm by 7 cm and a height of 23 cm is approximately 107.33 cubic centimeters.
Step-by-step explanation:
To find the volume of a pyramid with a rectangular base, you can use the formula V = (1/3) × base area × height. The base area of the rectangle is calculated by multiplying the length by the width, so the base area of the given pyramid is 2 cm × 7 cm = 14 cm². With the height provided as 23 cm, the formula for the volume of the pyramid is:
V = (1/3) × 14 cm² × 23 cm
V ≈ (1/3) × 322 cm³
V ≈ 107.33 cm³ (rounded to the nearest hundredth)
Hence, the volume of the pyramid is approximately 107.33 cubic centimeters.