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Answer: 4 inches

Step-by-step explanation: 1,944 / 18/ 9 / 1/3 = 4

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Based on the calculations, the height of this pyramid is equal to: D. 36 inches.

Given the following data:

  • Volume of pyramid = 1,944 cubic inches.
  • Dimensions of rectangular base = 18 inches by 9 inches.

How to calculate the height of this pyramid?

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × b × h

Where:

  • b is the base area.
  • h is the height.

For the base area, we have:

Base area = length × breadth

Base area = 18 × 9

Base area = 162 square inches.

Substituting the given parameters into the formula, we have;

1,944 = 1/3 × 162 × h

1,944 = 54h

h = 1,944/54

Height, h = 36 inches.

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