Everything Maths Grade 10

U

C

J

I

33 : 557 ◦

18 cm

7 cm

a) i.Show that the lengthU Iis 15 cm.

ii.Find the heightJU(to the nearest unit).

iii.Calculate the area of△CU I.

Hint: construct a perpendicular line from U toCI

iv.Find the volume of the container

b)The container is filled with the juice such that an 11,85% gap of air is left. Determine the volume

of the juice.

29.Below is a diagram of The Great Pyramid.

This is a square-based pyramid andOis the centre of the square.

D

B E

F

C

A

h

a

a

a

s

O

BA=AC=aandOF=h=height of the pyramid. The length of the side of the pyramidBC=

755,79 feet and the height of the pyramid is 481,4 feet.

a)Determine the area of the base of the pyramid in terms ofa.

b)CalculateAF(=s)to 5 decimal places.

c)From your calculation in question (b) determine

s

a

.

d)Determine the volume and surface area of the pyramid.

466 13.5. Chapter summary