ANSWER
[tex] \boxed { C. \: \: \: 57.7 {cm}^{3} } [/tex]
EXPLANATION
The volume of a pyramid is given by the formula,
[tex]V = \frac{1}{3} \times base \: area \times height[/tex]
The base of the pyramid is an equilateral triangle.
The base area is
[tex] = \frac{1}{2} \times base \times height[/tex]
[tex] = \frac{1}{2} \times 10 \times 8.66[/tex]
[tex] = 43.3 {cm}^{2} [/tex]
The volume of the pyramid is now equal to:
[tex]V = \frac{1}{3} \times 43.3 \times 4 {cm}^{3} [/tex]
[tex]V = 57.7{cm}^{3} [/tex]
