Answer:
384 cm²
Explanation:
Calculate the volume of metal in the block
V = 16 × 8 × 4 = 512 cm³
Then the volume of the cube = 512 cm³
That is
s³ = 512 ← s is length of side of cube, hence
s =
![\sqrt[3]{512}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mbbmq0ehf7d4xzkjczusx2v4lduxur3vxq.png)
= 8 cm
The cube has 6 square faces, hence
surface area = 6 × 8² = 6 × 64 = 384 cm²