I have the ratio for this question but I need help with finding the value of ratio using the ratio I came up with: ratio of V/SA=x/(100+2x)
Here's the question:
d) Find the value of the ratio for the box for each value of x. (1 mark each)
i) 10 cm
ii) 20 cm
iii) 30 cm
10/(100+20) = 10/120 = 1/12
To find the values of the ratio for each value of x, you can substitute the given values of x into the expression for the ratio. Let's go step by step for each case.
i) For x = 10 cm:
Begin with the given expression: ratio of V/SA = x/(100 + 2x).
Replace x with the value given: ratio of V/SA = 10/(100 + 2*10).
Simplify: ratio of V/SA = 10/120.
ii) For x = 20 cm:
Similar to the first case, we start with the given expression: ratio of V/SA = x/(100 + 2x).
Replace x with the value given: ratio of V/SA = 20/(100 + 2*20).
Simplify: ratio of V/SA = 20/140.
iii) For x = 30 cm:
Again, we begin with the given expression: ratio of V/SA = x/(100 + 2x).
Replace x with the value given: ratio of V/SA = 30/(100 + 2*30).
Simplify: ratio of V/SA = 30/160.
By following these steps, you can find the values for each case. Simply calculate the resulting fractions and express them in their simplest form if necessary.