The volume of a cube can be found using the equation v = s³, where v is the volume and s is the measure of one side of the cube.

match the equation for how to solve for the side length of a cube to its description.

drag the equation into the box to match the description.
a cube has a volume of 1433 in³
s=1433√2 in .s = 1433³ in. s=1433√3 in. s = 1433 in.

Step-by-step explanation:

The volume of a cube can be found by using the equation V = s³ where V is the volume and s is the measure of one side.

Since V = s³ = s × s × s

So s =

or  s =

Therefore, side of the cube can be measured by calculating cube root of its volume.

So the answer will s = =

37

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.