If each edge of a cube is increasing at the rate of 3 cm/s when the length of an edge is 2 cm long, then the rate of increase of its volume is

A) $6 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
B) $12 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
C) $24 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
D) $36 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
E) $72 \mathrm {~cm} ^ { 3 } / \mathrm { s }$

Question

If each edge of a cube is increasing at the rate of 3 cm/s when the length of an edge is 2 cm long, then the rate of increase of its volume is

A) $6 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
B) $12 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
C) $24 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
D) $36 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
E) $72 \mathrm {~cm} ^ { 3 } / \mathrm { s }$

Quizplus · Accepted Answer

The Answer of If each edge of a cube is increasing at the rate of 3 cm/s when the length of an edge is 2 cm long, then the rate of increase of its volume is

A) $6 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
B) $12 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
C) $24 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
D) $36 \mathrm {~cm} ^ { 3 } / \mathrm { s }$
E) $72 \mathrm {~cm} ^ { 3 } / \mathrm { s }$

If Each Edge of a Cube Is Increasing at the Rate