Final answer:
After calculating, the cuboid formed by joining three 8 cm edge cubes has a surface area of 768 cm² and a volume of 1536 cm³, meaning none of the provided options are correct. Option C is the nearest correct answer.
Step-by-step explanation:
To find the surface area and volume of the cuboid formed by joining three cubes end to end, each with an edge of 8 cm, we can use the formulas for the volume and surface area of a cube and then adjust these to take into account the formation of the cuboid.
The volume (V) of a cube is calculated by the formula V = s³, where ‘s' is the edge of the cube. Since we are joining three identical cubes, the total volume will be three times the volume of one cube:
V = 3 × (8 cm)³ = 3 × 512 cm³ = 1536 cm³
The surface area (SA) however does not simply triple because when cubes are joined, one face of each cube becomes internal and does not contribute to the external surface area. So, we will have 3 faces from the first and last cube and 2 faces from the middle cube that are considered:
SA = 2 × (8 cm)² × 3 + (8 cm) × 24 cm × 2 = 384 cm² + 384 cm² = 768 cm².
Thus, the correct answer is:
Surface area = 768 cm², Volume = 1536 cm³. Unfortunately, none of the given options are correct.