If 1m = 3.8 feet, then how many cubic meters will be equal to 700 cubic feet? A. 12.756 B. 25.93 C. 65.0 D. 213.41
ANSWER
Verified
Hint: Proceed the solution of this question using symmetric property then using unitary method and cubing on both sides we can reach our answer.
Complete step-by-step solution - Given, 1m = 3.8 feet (Here m stands for meter) In the question it is given that ⇒1m=3.8 feet ……. (1) So using symmetric property (If a = b then b = a) Hence we can write equation (1) as ⇒3.8feet= 1m So by using unitary method $\because $ 3.8feet = 1m $\because $ 1feet = \[\dfrac{1}{{3.8}}\]m On taking cube both side $\because $${\text{1fee}}{{\text{t}}^3} = {\text{ }}{\left( {\dfrac{1}{{3.8}}} \right)^3}{{\text{m}}^3}$ ; Here value of single unit is given $\therefore $${\text{700 fee}}{{\text{t}}^3} = {\text{ 700}} \times {\left( {\dfrac{1}{{3.8}}} \right)^3}{{\text{m}}^3} = 12.756{\text{ }}{{\text{m}}^3}$; which is the required value of multiple unit. Therefore In other words, we can say that 12.756 cubic meters will be equal to 700 cubic feet.
Note: To solve this particular question, we should have a good grasp on unitary method which is a technique for solving a problem by first finding the value of a single unit, then finding the necessary value by multiplying the single unit value. Overall this method is used to find the value of a unit from the value of a multiple, and hence the value of multiple. Sometimes we might not have given the value of a single unit that we can also find from the value of a multiple. Along with the unitary method we should also have a clear understanding of Symmetric Property of Equality which states that If a = b then b = a. This is one of the equivalence properties of equality.