19. Julianna is lining the inside of a basket with fabric. The basket is in the shape of a rectangular prism that is 29 cm long, 19 cm wide, and 10 cm high. How much fabric is needed to line the inside of the basket if the basket does not have a top? Explain your strategy.

To find the amount of fabric needed to line the inside of the basket, we first need to calculate the surface area of the rectangular prism without the top. The formula for the surface area of a rectangular prism is: Surface Area = 2lw + 2lh + 2wh. Since there's no top, we will only consider the bottom and the four sides. Substituting the dimensions (length l = 29 cm, width w = 19 cm, height h = 10 cm) into the simplified formula: 1. Bottom area: lw = 29 cm × 19 cm = 551 cm². 2. Two sides (length x height): 2(lh) = 2(29 cm × 10 cm) = 580 cm². 3. Two sides (width x height): 2(wh) = 2(19 cm × 10 cm) = 380 cm². Now, adding these areas together to find the total fabric needed: Total Fabric = Bottom + Sides = 551 cm² + 580 cm² + 380 cm² = 1511 cm². Therefore, Julianna would need 1511 cm² of fabric to line the inside of the basket. To visualize this, think of cutting pieces of fabric to fit each section of the basket's interior—you’re essentially wrapping the skin around the basket!