Question

All edges of a cube are growing at the same rate. The length, ?, in cm of each edge of the cube at t minutes is given by the function ? = ?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. Volume = Surface area =

          All edges of a cube are growing at the same rate. The length, ?, in cm of each edge of the cube at t minutes is given by the function ? = ?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.
Volume = 
Surface area =

All edges of a cube are growing at the same rate. The length, ?, in cm of each edge of the cube at t minutes is given by the function ? = ?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.
Volume =
Surface area =

Added by Andrew B.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Yujie Wang

04/14/2022

Step 1

Step 1: To express the volume of the cube as a function of time, we use the formula V = (2t + 1)^(3/2). Show more…

Show all steps

Thanks for your feedback!

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. Volume = Surface area =