4. A box of sugar has the shape of a rectangular parallelepiped. It contains 280 sugar cubes, each of which is a $1 \times 1 \times 1$ cm cube. Find the surface area of the box, given that the length of each of its sides is less than 10 cm.
# Answer: 262

Solution: $\mathbf{2 8 0}=\mathbf{2}^{3} \mathbf{x} \mathbf{x} \mathbf{x}$. From the condition that the lengths of the sides are integers less than 10, it follows that its edges are equal to 5, 7, and 8. The surface area is $2 *\left(5^{*} 7+5 * 8+7 * 8\right)=262$