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# Volume and Perimeter

ACTMAT-VYEEKU

The solid below is a cube with volume 64 cubic inches.

If point E is the midpoint of edge ${\overline { BD } }$, what is the perimeter of $\Delta$ACE, in inches?

A

$10$

B

$4 + 4{\sqrt { 2 } }$

C

$4 + 4{\sqrt { 3 } }$

D

$12$

E

$4 + 4{\sqrt { 5 } }$