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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!

4 + 5 7/9= 9 7/9

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116