Answer: (a) 80cm³ (b) 4618.14 m³
Question A
The figure is made up of a cubiod and a triangular prism.
1. Find the volume of the cubiod.
2. Find the volume of the triangular prism.
3. Add the two volume up to find the volume of the figure
--------------------------------------
Area of the cuboid
--------------------------------------
Volume = Length x Width x Height
Volume = 4 x 5 x 2
Volume = 40 cm³
--------------------------------------
Area of the triangular prism
--------------------------------------
Height = 6 - 2 = 4cm
Volume = 1/2 x base x height x Length
Volume = 1/2 x 4 x 4 x 5
Volume = 40 cm³
--------------------------------------
Volume of the figure
--------------------------------------
40 + 40 = 80 cm³
--------------------------------------
Answer: 100 cm³
--------------------------------------
Question B
Volume of the cylinder = πr²h
Volume of the cylinder = π x (14)² x 7.5
Volume of the cylinder = 4618.14 m³
--------------------------------------
Answer: 4618.14 m³
--------------------------------------
