1.

Calculate
the area of the following 2D figures:

1.1

a rectangle
with length = 20 cm and width = 120 mm.

1.2

a right-angled
triangle with the right-angled sides equal to 45 cm and 31 cm respectively.

1.3

a triangle
with base 30 m and height 5,5 m.

1.4

a parallelogram
with length 18 mm and height 8 mm.

1.5

an isosceles triangle with
base 38 cm and height 18 cm.

1.6

an equilateral triangle
with side = 56 m and height 46,4 m.

1.7

a circle with
a radius of 23,4 cm.

1.8

a circle with
diameter of 4,65 m.

2.

Calculate the
volume and surface area of each of the following regular bodies:

2.1

a rectangular
prism wih length 0,85 m, breadth 21 cm and height 185 mm.

2.2

a cube
with sides 67 cm long.

2.3

a prism, 34 cm
long and having as base a right-angled triangle with right-angled sides 15 cm

and 18
cm long.

2.4

a sphere with
radius 3,14 cm.

2.5

a cone with
diameter of 45 mm and height = 50 mm.

3.

Calculate the
area of every figure in the diagrams and the perimeter of the figures in 3.2, 3.4 and 3.5.

fig. 3.1

fig. 3.2

fig. 3.3

fig. 3.4

fig. 3.5

In 3.3 : H = 14 m ;

d = 20 m

h = 5,5 m

In fig. 3.5
CAB is a right angle

In fig. 3.4
both triangles are

and BC = 13

right angled
with ABC

and DAC the
right angles

4.

The triangles
are right angled triangles

with one side
equal to 1. The other side is equal

to the hypotenuse
of the preceding triangle.

a is the hypotenuse
of the first triangle, b of the

second triangle
and c of the third triangle.

4.1

Calculate the
value of a, b and c. What do you notice?

4.2

Write down
the values of each hyptotenuse of the next 3 triangles.

4.3

Calculate the
perimeter of the figure.

4.4

Calculate the area
of each triangle and the total area of the figure.

5.

Let fig. 3.3
represent a rondavel with H = 2,8 m, d = 3,5 m and h = 2 m. The roof is a thached roof.

5.1

Calculate
the area of the roof.

5.2

Calculate
the volume of air in the rondavel.

5.3

Calculate
the area of the wall.

6.

The drawing
represents a tank. The middle part is a cylinder.

The top
and bottom parts are cones.

6.1

Calculate the
maximum capacity (volme) of the tank.

6.2

Calculate the
area of the metal necessary to construct the tank.

7.

A greenhouse
consists of a metal frame in the form of a cylinder with half circles at the ends.

7.1

What area of
ground is covered by the greenhouse?

7.2

Can all the ground
be used to plant vegetables? Explain.

7.3

Calculate
the volume of the air in the greenhouse.

8.

You manufacture
tanks in the shape of a rectangle, a cube and a cylinder. Each tank has

a capacity
of 5 000 litre. Calculate the dimensions of each tank and the area of the

metal needed to
make the tank.