Based on the calculations, the slant height of this pyramid is equal to: C. 5 inches.
Given the following data:
In order to determine the slant height of this pyramid, we would first find the base area and height of the pyramid by using this formula:
Volume = 1/3 × base area × height
For the base area, we have:
Base area = s²
Base area = 6²
Base area = 36 square inches.
For the height, we have:
Volume = 1/3 × base area × height
48 = 1/3 × 36 × height
48 = 12h
h = 48/12
Height, h = 4 inches.
Next, we would determine the slant height of this pyramid by applying Pythagorean's theorem:
l² = h² + b²/4
l² = 4² + 6²/4
l² = 16 + 36/4
l² = 16 + 9
l = √25
Slant height, l = 5 inches.
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