Three dimensional figures questions | form four Basic Mathematics

A bucket UVSTnwas made from the cone URT such that its top radius is 12cm, bottom radius is 9cm and its depth (PQ) is 10cm.

1. Find the height QR of the cone VRS, using the fact that triangles PRT and QRS are similar.
2. Find the volume of the bucket , giving your answer in four significant figures.

Answer / Solution

UNSOLVED

The following figure represents a rectangular prism in which , and .

Find :

1. The total surface area.
2. The angle between the planes PTZW and QRZW.

Answer / Solution

UNSOLVED

Calculate the volume of a cone whose base radius is 12cm and slant height is 20cm. (Use )

Answer / Solution

UNSOLVED

A rectangular box with top WXYZ and base ABCD has AB=9cm, BC=12cm and WA=3cm.

Calculate :

1. The length of AC,
2. The angle between WC and AC.

Answer / Solution

UNSOLVED

Sketch a square pyramid whose base is PQRS, vertex is at W and centre is at N, then answer the questions that follow:

1. State the projection of on PQRS.
2. Name the angle between and the plane PQRS.

Answer / Solution

UNSOLVED