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.

1. Identify the surfaces to be lined: - The basket is a rectangular prism with a missing top. Therefore, the fabric must cover the bottom and the four sides. 2. Compute the area of the bottom: - The dimensions of the bottom are given by the length and width. - The area is \[ \text{Area}_{\text{bottom}} = 29\, \text{cm} \times 19\, \text{cm} = 551\, \text{cm}^2. \] 3. Compute the area of the front and back sides: - Each of these sides has a width equal to the length of the basket (29 cm) and a height of 10 cm. - The area of one side is \[ 29\, \text{cm} \times 10\, \text{cm} = 290\, \text{cm}^2. \] - For two sides, the total area is \[ 2 \times 290\, \text{cm}^2 = 580\, \text{cm}^2. \] 4. Compute the area of the left and right sides: - Each of these sides has a width equal to the width of the basket (19 cm) and a height of 10 cm. - The area of one side is \[ 19\, \text{cm} \times 10\, \text{cm} = 190\, \text{cm}^2. \] - For two sides, the total area is \[ 2 \times 190\, \text{cm}^2 = 380\, \text{cm}^2. \] 5. Add up all areas to find the total fabric needed: \[ \text{Total Fabric} = 551\, \text{cm}^2 + 580\, \text{cm}^2 + 380\, \text{cm}^2 = 1511\, \text{cm}^2. \] 6. Conclusion: - Julianna needs \(1511\, \text{cm}^2\) of fabric to line the inside of the basket.