Final Answer:
Lisa would need to cover the total surface area of the block with decorative paper.
Step-by-step explanation:
In order to determine the total surface area that Lisa needs to cover with decorative paper, we must calculate the surface area of each face of the block and then sum them up. A standard rectangular block has six faces: front, back, top, bottom, left side, and right side. If we denote the length, width, and height of the block as L, W, and H respectively, the surface area (SA) of one face can be calculated using the formula SA = 2(LW + LH + WH). Since there are six faces, the total surface area (TSA) is given by TSA = 6(LW + LH + WH). This formula takes into account all the external surfaces of the block.
Now, let's consider an example where the block has dimensions L = 10 cm, W = 5 cm, and H = 3 cm. Plugging these values into the formula, we get TSA = 6(10×5 + 10×3 + 5×3) = 6(50 + 30 + 15) = 6(95) = 570 square centimeters. Therefore, Lisa would need 570 square centimeters of decorative paper to cover the entire surface of the block.
In conclusion, to find the total surface area that Lisa needs to cover, it is essential to apply the surface area formula for a rectangular block. This ensures a comprehensive calculation that accounts for all sides of the block. The final result provides a clear understanding of the quantity of decorative paper required for this particular task.