| Quiz | 3D Pythagoras and trigonometry |
|---|---|
| Name | |
| Result | FAILED |
| Score | 5 / 8 (62.5%) |
| Passing score | 6.4 |
| Quiz took | 54 min |
| Quiz finished at | 2025-03-25 21:07:08 |
A pyramid has a horizontal square base ABCD with sides of length 230 metres. M is the midpoint of AC. The vertex, T, is vertically above M. The slant edges of the pyramid are of length 218 metres. Calculate the height, MT, of the pyramid. Give your answer correct to 3 significant figures. The diagram is NOT accurately drawn.
The diagram shows a cuboid ABCDEFGH. AB = 5cm, BC = 7cm, AE = 3cm. Calculate the length of AG. Give your answer correct to 3 significant figures. The diagram is NOT accurately drawn.
The diagram shows a cuboid ABCDEFGH. AB = 8 cm, AF = 6 cm and FC = 16 cm. Find the length of BC. Give your answer correct to 3 significant figures. The diagram is NOT accurately drawn.
ABCDEFGH is a cuboid. The cuboid has length 17 cm, width 5 cm, and height 8 cm. Work out the size of the angle that AH makes with the plane EFGH. Give your answer correct to 1 decimal place. The diagram is NOT accurately drawn.
Triangle PQR is a cross section of the prism. PR = 20 cm MP = 12cm Angle PRQ = 30° Angle PQR = 90° Calculate the size of the angle that the line MR makes with the plane RQLN. Give your answer correct to 1 decimal place. The diagram is NOT accurately drawn.
The diagram shows a pyramid with a horizontal rectangular base PQRS. M is the midpoint of the line PR. The vertex, T, is vertically above M. PQ = 16 cm. QR = 10 cm. MT = 15cm. Calculate the size of the angle between TP and the base PQRS. Give your answer correct to 1 decimal place. The diagram is NOT accurately drawn.
The diagram shows a cube ABCDEFGH. The sides of the cube are of length 5 cm. Calculate the size of the angle between the diagonal AH and the base EFGH. Give your answer correct to 1 decimal place. The diagram is NOT accurately drawn.
ABCDE is a square-based pyramid. AE = BE = CE = DE = 12 cm. AB = 15 cm. Calculate the size of angle DEB. Give your answer to the nearest degree. The diagram is NOT accurately drawn.