Question

Annette cut a piece of wood in the shape of a triangular pyramid. The diagram shows the dimensions of the wood piece.

The volume of the wood is 18 cubic inches. What is h, the height of the wood in inches?

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Answer 1

the height of the triangular pyramid is 2.25 inches.

Explanation:

To find the height of the triangular pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × base area × height

where the base area is the area of the triangle and the height is the height of the pyramid.

We know that the volume of the wood is 18 cubic inches, so we can substitute the given values into the formula:

18 = (1/3) × (4 × 6) × h

Multiplying both sides by 3, we get:

54 = 24 × h

Dividing both sides by 24, we get:

h = 2.25

Therefore, the height of the triangular pyramid is 2.25 inches.