Figure 6 represents a cubic nanoparticle with side length 3 nm. The volume of the cubic nanoparticle is 27 nm³. Calculate:\n• the surface area of the cubic nanoparticle\n• the simplest whole number ratio of surface area : volume for the cubic nanoparticle.\nUse the equation: surface area of cubic nanoparticle = 6 × surface area of one face

**1. Calculate the surface area:**\nA cube has 6 square faces. The side length of the cube is 3 nm.\nThe area of one face is length × width = 3 nm × 3 nm = 9 nm².\nThe total surface area is 6 × (area of one face) = 6 × 9 nm² = 54 nm².\n\n**2. Calculate the surface area to volume ratio:**\nThe volume is given as 27 nm³.\nThe ratio of surface area to volume is 54 : 27.\nTo simplify this ratio, we find the greatest common divisor of 54 and 27, which is 27.\nDivide both sides of the ratio by 27:\n(54 ÷ 27) : (27 ÷ 27)\nThis simplifies to **2 : 1**.