# Geometry problems with area and volume

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 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 ...

#### 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.