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Question

A triangular pyramid with a square base has a dotted line segment labeled h equals 8 meters extending from the top vertex to the base. The base of the pyramid is labeled a equals 60 meters squared.

Joao constructs a square-based pyramid. What is the volume of the pyramid?

(1 point)
The volume of the pyramid is
cubic meters.
Remaining Attempts : 3

Answer 1

To calculate the volume of a triangular pyramid (or square-based pyramid), you can use the formula:

\[ V = \frac{1}{3} \cdot B \cdot h \]

where:

• \( V \) is the volume,
• \( B \) is the area of the base,
• \( h \) is the height of the pyramid.

From your description, we know:

• The base area \( B = 60 \) square meters,
• The height \( h = 8 \) meters.

Now, we can substitute these values into the volume formula:

\[ V = \frac{1}{3} \cdot 60 \cdot 8 \]

Calculating the volume:

\[ V = \frac{1}{3} \cdot 480 = 160 \]

Thus, the volume of the pyramid is \( 160 \) cubic meters.