Three dimensional figures questions | form four Basic Mathematics

The volume of a square pyramid is 28.2cm². If the sides of its base are 4cm long, find the height of the pyramid correct to one decimal place.

Answer / Solution

UNSOLVED

In the following cuboid , AB=5cm, BC=12cm and BG=10cm. Calculate:

1. The length of AH (give your answer correct to one decimal place).
2. The angle CAH.

Answer / Solution

UNSOLVED

The figure below shows a rectangular prism in which =16cm, =12cm and =5cm.

Calculate

1. Its total surface area
2. The angle between and the plane ABCD
3. The volume in litres the prism can hold (1 litre=1000cm³)

Answer / Solution

UNSOLVED

The figure below shows a rectangular prism in which Ab=10cm, BC=8cm and calculate the length of DF (Leave your answer in surd form).

Answer / Solution

UNSOLVED

In figure 3, ABCD is a rectangle in which AB=3cm and BC=2cm. V is a point that VA=VB=VC=VD=6cm and AO=OC. Find:

1. The angle VAD;
2. The length of AC;
3. The angle between VA and the plane ABCD.

Answer / Solution

UNSOLVED