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Geometry problems with area and volume

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1. Find the area of the triangle.

2. There is a shaded triangular prism 6in x 8in x 11in with a rectangle solid 3in x 4in x 11in not shaded. Find the volume of the shaded area.

3. Given the graph, name an edge that is a bridge, if any.

4. Find the area in meters of a trapezoid with a height of 4 m and bases of 8 m and 17 m.

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Solution Summary

1. Find the area of the triangle.

2. There is a shaded triangular prism 6in x 8in x 11in with a rectangle solid 3in x 4in x 11in not shaded. Find the volume of the shaded area.

3. Given the graph, name an edge that is a bridge, if any.

4. Find the area in meters of a trapezoid with a height of 4 m and bases of 8 m and 17 m.

Solution Preview

1.
Keep in mind that the height of the triangle is in yards. You need to change that to feet before finding the area.
The area of a triangle can be found by multiplying the base and the height of the triangle and dividing it by two. Whereas the two measurements shown are 6 feet and 2 feet, multiplying them gives 12 and dividing by two gives 6. So, the answer is 6 ft2.
If the height was 6 yards instead of feet, then we would ...

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