If the ratio is 4:3 divide the larger can by 4 which in a) is 25 then multiply by 3 to get surface area of smaller can which would be 75 square inches.
In part b) do the same so 150 divided by 4 is 37.5 multiplied by 3 is 112.5 cubic inches.
It doesn't matter if it is surface area or volume you still use the same ratio of 4:3
4/3 of the area of the larger hexagon to the area of the smaller hexagon
Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.
The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)
The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3
area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18
= 4/3
Required ratio = 4/3 answer
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Answer:
(a-6)(a+1)
Step-by-step explanation:
factor a2-5a-6
and plugging the result into 
.
