Tetrahedron A B C D has A B=5, A C=3, B C=4, B D=4, A D=3, and C D=\dfrac{12}{5} \sqrt{2}. What is the volume of the tetrahedron?

**Answer Choices**

A. 3 \sqrt{2}

B. 2 \sqrt{5}

C. \dfrac{24}{5}

D. 3 \sqrt{3}

E. \dfrac{24}{5} \sqrt{2}

Tetrahedron A B C D has A B=5, A C=3, B C=4, B D=4, A D=3, and C D=\dfrac{12}{5} \sqrt{2}. What is the volume of the tetrahedron?

**Answer Choices**

A. 3 \sqrt{2}

B. 2 \sqrt{5}

C. \dfrac{24}{5}

D. 3 \sqrt{3}

E. \dfrac{24}{5} \sqrt{2}