George is trying to find the surface area of his steamer basket. He knows that the area of each of the circular bases is

Question

452.16 and the area of the rectangular face connecting the circles is 678.24
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What is the surface area of the steamer basket?

Answer 1

To find the surface area of the steamer basket, we need to combine the area of the two circular bases and the area of the rectangular face.

1. Area of the circular bases: Since there are two circular bases and the area of each base is given as \( 452.16 \): \[ \text{Total area of the bases} = 2 \times 452.16 = 904.32 \]

2. Area of the rectangular face: The area of the rectangular face connecting the circles is given as \( 678.24 \).

3. Total surface area: Now we can add the total area of the bases and the area of the rectangular face: \[ \text{Total surface area} = \text{Area of the bases} + \text{Area of the rectangular face} \] \[ = 904.32 + 678.24 = 1582.56 \]

Therefore, the surface area of the steamer basket is \( \boxed{1582.56} \).