Question

what is the volume of this triangular pyramid?
17 mm
18 mm
11 mm
cubic millimeters
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Explanation:

Step1: Find base area of the pyramid

The base is a triangle, so area is $\frac{1}{2} \times \text{base length} \times \text{base width}$.
$\text{Base Area} = \frac{1}{2} \times 18 \times 11 = 99$ $\text{mm}^2$

Step2: Apply pyramid volume formula

Volume is $\frac{1}{3} \times \text{base area} \times \text{height}$.
$\text{Volume} = \frac{1}{3} \times 99 \times 17$

Step3: Calculate the final value

Multiply the numbers to get the volume.
$\frac{1}{3} \times 99 \times 17 = 33 \times 17 = 561$

Answer:

561 cubic millimeters