A cube has an edge of 5 feet. The edge is increasing at the rate of 3 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. Hint: Remember that the volume of a cube is the cube (third power) of the length of a side. V (m) = Gfeet

A cube has an edge of 5 feet. The edge is increasing at the rate of 3 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed. Hint: Remember that the volume of a cube is the cube (third power) of the length of a side. V (m) = Gfeet

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter10: Exponential And Logarithmic Functions

Section10.2: Evaluate And Graph Exponential Functions

Problem 10.34TI: Maria, a biologist is observing the growth pattern of a virus. She starts with 100 of the virus that...

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Question

### Understanding Cube Volume Growth Over Time

#### Problem Statement

A cube has an edge of 5 feet. The edge is increasing at the rate of 3 feet per minute. Express the volume of the cube as a function of $ m $, the number of minutes elapsed.

**Hint:** Remember that the volume of a cube is the cube (third power) of the length of a side.

\[ V(m) = \]

**\[ \boxed{\phantom{abc}} \] feet$^3$**

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