1. the picture shows a feeding trough that is shaped like a right prism.

(a) surface a and b are identical trapezoids. what are the lengths of the bases of the trapezoids? what is the height?

(b) surfaces a and b will be painted blue. what is the total area that will be painted blue?

(c) the edges of the trapezoids need to be sanded. a piece of sandpaper advertises that it can sand up to 80 cm. will one piece of sandpaper be enough to sand the edges of one trapezoid? explain.

The answer is he lengths of the bases of the trapezoids are
trapezoid A
b=19cm, and B=35cm, b the short base and B the long base

trapezoid B
b=19cm, and B=35cm, b the short base and B the long base

the height is h=15cm

the surface of A is A= hx(b+B) /2

so the surface is A= 15(19+35)/2=405cm²
we know that suface A =surfaceB, so Surface B= 405cm²

finally the total surface painted is 2 x 405cm²= 810cm²

the perimeter of the trapezoid A is PA=17+19+35+17=88cm
the perimeter of the trapezoid B is PB=17+19+35+17=88cm

 one piece of sandpaper will not be enough to sand the edges of one trapezoid

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