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Answer :
To find the value of [tex]\( c \)[/tex] in the equation [tex]\( f = c \cdot d^3 \)[/tex], we can follow these steps:
1. Identify the given information:
- [tex]\( f = 450 \)[/tex]
- [tex]\( d = 10 \)[/tex]
2. Substitute the known values into the equation:
- The equation is [tex]\( f = c \cdot d^3 \)[/tex].
- Substitute [tex]\( f = 450 \)[/tex] and [tex]\( d = 10 \)[/tex] into the equation:
[tex]\[
450 = c \cdot 10^3
\][/tex]
3. Calculate [tex]\( d^3 \)[/tex]:
- Calculate [tex]\( 10^3 \)[/tex], which is [tex]\( 10 \times 10 \times 10 = 1000 \)[/tex].
4. Solve for [tex]\( c \)[/tex]:
- Rearrange the equation to solve for [tex]\( c \)[/tex]:
[tex]\[
c = \frac{450}{1000}
\][/tex]
5. Calculate the value of [tex]\( c \)[/tex]:
- Perform the division:
[tex]\[
c = 0.45
\][/tex]
Therefore, the value of [tex]\( c \)[/tex] is [tex]\( 0.45 \)[/tex]. So, the correct answer is option A) 0.45.
1. Identify the given information:
- [tex]\( f = 450 \)[/tex]
- [tex]\( d = 10 \)[/tex]
2. Substitute the known values into the equation:
- The equation is [tex]\( f = c \cdot d^3 \)[/tex].
- Substitute [tex]\( f = 450 \)[/tex] and [tex]\( d = 10 \)[/tex] into the equation:
[tex]\[
450 = c \cdot 10^3
\][/tex]
3. Calculate [tex]\( d^3 \)[/tex]:
- Calculate [tex]\( 10^3 \)[/tex], which is [tex]\( 10 \times 10 \times 10 = 1000 \)[/tex].
4. Solve for [tex]\( c \)[/tex]:
- Rearrange the equation to solve for [tex]\( c \)[/tex]:
[tex]\[
c = \frac{450}{1000}
\][/tex]
5. Calculate the value of [tex]\( c \)[/tex]:
- Perform the division:
[tex]\[
c = 0.45
\][/tex]
Therefore, the value of [tex]\( c \)[/tex] is [tex]\( 0.45 \)[/tex]. So, the correct answer is option A) 0.45.
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