#### Area and volume.

1.
A wall is 3,25 m high and 6,60 m long and is 2 bricks wide. A brick is 30 cm long and 50 mm high.
Calculate the number of bricks in the wall by dividing the area of the wall by the area of a brick.
2.
Calculate the area of the following 2D-figures:
2.1
a rectangle with length 45 mm and breadth 7,3 mm.
2.2
a triangle with base 45 cm and height 22 cm
2.3
a square with side 72 cm
2.4
a circle with diameter 3,14 m
3.
Calcuate the
2
3.1
side of a square with an area of 552,25 m
2
3.2
length of a rectangle with breadth 3,45 m and an area 20,769 m
2
3.3
height of a triangle with base 28,4 cm and an area of 249,92 cm
2
3.4
base of a triangle with height 1,26 m and an area of 0,4095 m
2
3.5
diameter of a circle with area 124,690 cm
2
3.6
radius of a circle with area 3848,45 m
4.
Calculate the surface area and volume of the following 3D-bodies:
4.1
a cube with side 34 mm.
4.2
rectangular prism with length 65 cm, breadth 40 cm and height 24 cm.
4.3
a sphere with diameter 56 mm
4.4
a cone with height 32 cm and radius of the base 21 cm
4.5
a cylinder with length 450 mm and diameter 6 cm.
2
5.
The surface area of a cube is 1350 cm   .   Calculate the
5.1
length of a side.
5.2
volume of the cube.
2
6.
The surface area of a sphere is 314,159 cm   .   Calculate the
6.1
diameter of the sphere.
6.2
volume of the sphere.
3
7.
The volume of a sphere is 24 429,024 cm   .   Calculate the
7.1
7.2
surface area of the sphere.
8.
You have to paint the outside of a rectangular tank.
The measurements are: length = 20 m, breadth = 15 m and height = 2,4 m.
8.1
Calculate the surface area of the tankthat has to be painted.
8.2
One litre of paint covers an area of 2,85 square metres. Calculate the volume of paint needed,
correct to one litre.
8.3
Consider the following:
 Volume of container, in litre 1 2 5 20 Cost of container, in Rand 28,25 56,50 127,10 372,00
How many of each kind ot container must you buy so that the cost will be a minimum?