Cubic and Cube Root Applications Problems

Solve the equation for w

• $w=.007d^3$

• $w=.0007d^3$

• $w=.009d^3$

• $w=.0009d^3$

To the nearest tenth of a carat, what is the weight of a cultured pearl with an average diameter of 10mm?

• w=7.1 carats

• w=70.1 carats

• w=7.8 carats

• w=70.8 carats

• $3861.746m^3$

• $3875.746m^3$

• $1546.746m^3$

• $2671.746m^3$

Solve the equation for h

• $h=^3\sqrt{\frac{GM}{w^2}}-R$

• $h=^{ }\sqrt{\frac{GM}{w^2}}-R$

• $h=^3\sqrt{\frac{GM-R}{w^2}}$

• $h=^3R\sqrt{\frac{GM}{w^2}}$

Solve the Manning Equation for R

• $R=\left(\frac{NQ}{1.49A\sqrt{S}}\right)^{\frac{3}{2}}$

• $R=\left(\frac{1.49A\sqrt{S}}{NQ}\right)^{\frac{3}{2}}$

• $R=\left(\frac{NQ}{1.49A\sqrt{S}}\right)^{\frac{2}{3}}$

• $R=\left(\frac{1.49A\sqrt{S}}{NQ}\right)^{\frac{2}{3}}$

Find the flow rate of a liquid if n=.011, A=6, R=6/7, and S=.03

• $Q=127.021\ \frac{ft^3}{s}$

• $Q=12.7021\ \frac{ft^3}{s}$

• $Q=1270.210\ \frac{ft^3}{s}$

• $Q=127,021\ \frac{ft^3}{s}$

If a male elephant has a trunk length of 100 inches, about what is his age?

• 47 years

• 50 years

• 35 years

• 20 years

An asian elephant is stated to have an average trunk length of 1.2 to 2 meters. What is the average age range for the Asian elephant fore the average trunk length?

• 2 to 19 years

• 2 to 17 years

• 3 to 19 years

• 3 to 19 years

Solve the variable for r

• $n\left(^{nt}\sqrt{\frac{A}{P}}-1\right)=r$

• $n\left(^{nt}\sqrt{\frac{P}{A}}-1\right)=r$

• $n\left(^{nt}\sqrt{\frac{A-1}{P}}\right)=r$

• $n\left(^{nt}\sqrt{\frac{A}{P-1}}\right)=r$

What rate would you need for the account to go from $4000 to $6000 after 5 years compounded monthly? (convert rated from a decimal to percent.

• $r=8.13\%$

• $r=.813\%$

• $r=.0813\%$

• $7.13\%$