The base of a rectangular solid is a square with a side of the length a cm. the height of the rectangular solid is b cm and its volume is equal to vcm³. express the variable a in terms of b and v.

Volume of a rectangular solid is given by length ×width ×height or the base area × height.
In this case the base is a square hence the base area = a cm ×a cm = a² cm²
therefore, the volume will be a² cm² ×b cm = a²b cm³
hence, a²b cm³ = V cm³
           dividing both side by b , a² = V/b , then we get the square root
          therefore, a = √(V/b)
                                                  

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

The variables should add up to equal 1