Question

All edges of a cube are growing at the same rate. The length, l, in cm of each edge of the cube at t minutes is given by the function l = ?(2t + 1). a) Express the volume of the cube as a function of time, t. b) Express the surface area of the cube as a function of time, t.. c) Calculate the volume and the surface area of the cube at t = 4 minutes.

          All edges of a cube are growing at the same rate. The length, l, in cm of each edge of the cube at t minutes is given by the function l = ?(2t + 1).

a) Express the volume of the cube as a function of time, t.




b) Express the surface area of the cube as a function of time, t..






c) Calculate the volume and the surface area of the cube at t = 4 minutes.

All edges of a cube are growing at the same rate. The length, l, in cm of each edge of the cube at t minutes is given by the function l = ?(2t + 1).

a) Express the volume of the cube as a function of time, t.

b) Express the surface area of the cube as a function of time, t..

c) Calculate the volume and the surface area of the cube at t = 4 minutes.

Added by Alyssa S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Moses Obasola

06/22/2022

Step 1

Since the side length is given as € = √(2t + 1), the volume V is V = (€)^3 = (√(2t + 1))^3 = (2t + 1)√(2t + 1). Show more…

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All edges of a cube are growing at the same rate. The length, l, in cm of each edge of the cube at t minutes is given by the function l = √(2t + 1). a) Express the volume of the cube as a function of time, t. b) Express the surface area of the cube as a function of time, t.. c) Calculate the volume and the surface area of the cube at t = 4 minutes.