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Find the volume of a pyramid with a height of 23 cm in a rectangular base with dimensions of 2 cm and 7 cm answer to the nearest hundredth as needed

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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.

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