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Kruka [31]
3 years ago
8

A cube has an edge of 2 feet. The edge is increasing at the rate of 5 feet per minute. Express the volume of the cube as a funct

ion of m, the number of minutes elapsed.
Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

Answer:

V(m) = (2 + 5m)^3

Step-by-step explanation:

Given

Solid Shape = Cube

Edge = 2 feet

Increment = 5 feet per minute

Required

Determine volume as a function of minute

From the question, we have that the edge of the cube increases in a minute by 5 feet

<em>This implies that,the edge will increase by 5m feet in m minutes;</em>

Hence,

New\ Edge = 2 + 5m

Volume of a cube is calculated as thus;

Volume = Edge^3

Substitute 2 + 5m for Edge

Volume = (2 + 5m)^3

Represent Volume as a function of m

V(m) = (2 + 5m)^3

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