Applying trigonometric ratios in 3D

12 questions

1. A ___ is a 3D shape with 6 faces, where there are 3 pairs of congruent rectangles. It also has 8 vertices and 12 edges.
2. For which of these triangles, would you use the cosine ratio, to calculate x?
3. Which of these calculations are correct to find the length of x?
4. Work out x to 1 decimal place.
5. Work out x^\circ to the nearest degree.
6. Work out the base angle in this isosceles triangle, to the nearest degree.
7. This 3D shape is a cuboid. Work out the length of the dashed line marked, x, to 1 decimal place.
8. This 3D shape is a cuboid. Work out the length of the line that the arrow is pointing at (the diagonal of the bottom face), to 1 decimal place.
9. Which of these calculations are correct for working out the volume of this cuboid?
10. Work out the length of the edge marked x on this triangular prism. Give your answer to 3 significant figures.
11. The volume of this triangular prism is ___ \text{ cm}^3, to 1 decimal place.
12. Which of these calculations are correct to find the volume of this right pyramid?

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