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2064cm²

Step-by-step explanation:

The total surface area of a shape is given by the area of each side. In this case 2 × the trapezium/trapezoid, 1 × the top side, 1 × the bottom side, 1 × the left slanted side and 1 × the right slanted side.

Let's start with the trapeziums/trapezoids. The formula for their area is h(a+b). In this case, because there are 2, we can work them out at once without the .

By substituting a with 6cm (the top length), b with 27cm (the bottom length), and h with 8cm (the height), the equation becomes 8(27+6) or 8×33, which can be solved to 264cm².

The rest of the sides are rectangles, which use the formula lw for area. For the top side, this is 6×30, or 180cm².

For the bottom side, this is 27×30, or 810cm².

For the left slanted side, this 10×30, or 300cm².

For the right slanted side, this is 17×30, or 510cm².

We should add these all together to get the final result. This equation is 264+180+810+300+510. This adds up to 2064cm².

**This content involves total surface area of prisms, which you may wish to revise. I'm always happy to help!

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step-by-step explanation: