Grade 12 - More exercises.
Area and volume.
the area of the following 2D figures:
with length = 20 cm and width = 120 mm.
triangle with the right-angled sides equal to 45 cm and 31 cm respectively.
with base 30 m and height 5,5 m.
with length 18 mm and height 8 mm.
an isosceles triangle with
base 38 cm and height 18 cm.
an equilateral triangle
with side = 56 m and height 46,4 m.
a circle with
a radius of 23,4 cm.
a circle with
diameter of 4,65 m.
volume and surface area of each of the following regular bodies:
prism wih length 0,85 m, breadth 21 cm and height 185 mm.
with sides 67 cm long.
a prism, 34 cm
long and having as base a right-angled triangle with right-angled sides 15 cm
a sphere with
radius 3,14 cm.
a cone with
diameter of 45 mm and height = 50 mm.
area of every figure in the diagrams and the perimeter of the figures in 3.2, 3.4 and 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
and DAC the
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
and c of the third triangle.
value of a, b and c. What do you notice?
the values of each hyptotenuse of the next 3 triangles.
perimeter of the figure.
Calculate the area
of each triangle and the total area of the figure.
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.
the area of the roof.
the volume of air in the rondavel.
the area of the wall.
represents a tank. The middle part is a cylinder.
and bottom parts are cones.
maximum capacity (volme) of the tank.
area of the metal necessary to construct the tank.
consists of a metal frame in the form of a cylinder with half circles at the ends.
What area of
ground is covered by the greenhouse?
Can all the ground
be used to plant vegetables? Explain.
the volume of the air in the greenhouse.
tanks in the shape of a rectangle, a cube and a cylinder. Each tank has
of 5 000 litre. Calculate the dimensions of each tank and the area of the
metal needed to
make the tank.