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Measurement Revision (Including Trig & Pythag)
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A 10 metre rope is tied from the top of a 6 metre wall to a peg in the ground. How far from the wall is the peg? (Hint: draw a right-angled triangle)
8 metres
A cylinder has a radius of 4cm and a height of 12cm. What is the volume?
603.2 cm squared
What is the value of x?
12 cm
Which condition tells us that these triangles are similar? (SSS, SAS, AA, RHS)
AA or AAA (if 2 angles are the same then the third one must be too)
Given the two triangles are similar, what is the value of x?
14 (the scale factor is 2/3 or 0.666666)
What is the surface area?
330 cm squared
What is the surface area of the cylinder?
226.19 cm squared
What is the volume?
270 cm^3
What is the missing side length?
Scale factor = 5. Missing side length = 8
A cylindrical piece of metal has a part cut out as shown in the diagram. What is the volume? (Round your answer to the nearest whole)
5655 cm^3
How many metres is 250mm?
0.25 metres
A cylindrical tank has a radius of 7m and a height of 10m. What is the volume?
1539 m^3
After labelling the given side lengths, which trig ratio (SOHCAHTOA triangle) would you use?
= SIN ratio or SOH
What is the value of h?
h = 19.3cm
Is the side marked with an x the Opposite, Adjacent or Hypotenuse?
x = 28.14cm
Which side is Opposite?
= 16.7
Find the value of e
e = 8.04m
What is the volume?
240 metres cubed
What is the value of x? (Use Pythagoras)
x = 5.83
What is the value of x? (Use Pythagoras)
x = 5
What is the surface area?
136 metres squared
What is the value of y?
12.58