1. **Problem Statement:** Terrence wants to build a larger cube of side 4 units using smaller cubes of side 1 unit. The larger cube would be made of $4 \times 4 \times 4 = 64$ smaller cubes in total. 2. **Understanding the incomplete figure:** The diagram shows the larger cube with some smaller cubes missing from one corner. We need to find what fraction of the larger cube is completed. 3. **Calculate total cubes in the larger cube:** Since each side is 4 units and each small cube is 1 unit, total small cubes are: $$64 = 4^3$$ 4. **Determine the number of cubes missing:** The missing portion is a smaller cube of side 2 units (since the missing corner looks like a $2 \times 2 \times 2$ cube). The number of cubes missing is: $$8 = 2^3$$ 5. **Calculate the number of cubes completed:** $$64 - 8 = 56$$ 6. **Find the fraction completed:** $$\frac{56}{64} = \frac{7}{8}$$ 7. **Answer:** Terrence completed $\frac{7}{8}$ of the larger cube. --- **Cross-section shape:** The solid with uniform cross-section shown is a hexagonal prism, as indicated by the second 3D graph with hexagonal faces and parallel edges. --- **Final answers:** - Fraction of larger cube completed: $\frac{7}{8}$ - Cross-section shape: Hexagonal prism