Question

All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the volume changing when each edge is 2 centimeter(s)? 96 cm³/sec (b) How fast is the volume changing when each edge is 11 centimeters? 726 cm³/sec

          All edges of a cube are expanding at a rate of 4 centimeters per second.
(a) How fast is the volume changing when each edge is 2 centimeter(s)?
96 cm³/sec
(b) How fast is the volume changing when each edge is 11 centimeters?
726 cm³/sec

All edges of a cube are expanding at a rate of 4 centimeters per second.
(a) How fast is the volume changing when each edge is 2 centimeter(s)?
96 cm³/sec
(b) How fast is the volume changing when each edge is 11 centimeters?
726 cm³/sec

Added by Marta S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/01/2022

Step 1

Step 1: Given that the edges of the cube are expanding at a rate of 4 cm/s, we have da/dt = 4 cm/s. Show more…

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Question

All edges of a cube are expanding at a rate of 4 centimeters per second. (a) How fast is the volume changing when each edge is 2 centimeter(s)? 96 cm³/sec (b) How fast is the volume changing when each edge is 11 centimeters? 726 cm³/sec

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