Question

6. The volume of a cube is increasing at a rate of 10 cubic cm/min. How...

6. The volume of a cube is increasing at a rate of 10 cubic cm/min. How fast is the surface area of the cube increasing when the length of the edge is 30 cm?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Volume of a cube having side length 'a' is given by

The volume of a cube is increasing at a rate of 10 cubic cm/min.

That is

Surface area of the cube is given by

When length of the edge is 30 cm.

That is

Surface area is increasing at a rate of 1.33 square cm/min.

----------------------------------------------------------------------------------------

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(1) The volume of a cube is increasing at a rate of 10 cm3/min. How fast...
(1) The volume of a cube is increasing at a rate of 10 cm3/min. How fast is the surface area increasing when the length of an edge is 20 cm? (2) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the circumference of the oil spill increases at a constant rate of 2 m/s, how fast is the area of the spill increasing when the radius is 30 m?
The volume of a cube is decreasing at the rate of 360cm^3/sec at the moment its...
The volume of a cube is decreasing at the rate of 360cm^3/sec at the moment its total surface area is 2400cm^2. What is the rate of change of the length of one edge of the cube at this moment?
The altitude (height) of a triangle is increasing at a rate of 1 cm/min while the...
The altitude (height) of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 square cm per min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 square cm?
The altitude of a triangle is increasing at a rate of 2.5 cm/min ‏‏ while the...
The altitude of a triangle is increasing at a rate of 2.5 cm/min ‏‏ while the area the triangle is increasing at a rate of 2.5 cm² per minute. At what rate is the base of the triangle changing when the altitude is 8.5 cm and the area is 94 cm² ?
The altitude of a triangle is increasing at a rate of 1 cm/min while the area...
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/min. At what rate is the base of the triangle changing when the altitude is 20 cm and the area is 160 cm2?
The radius of a circular cylinder is increasing at rate of 3 cm/s while the height...
The radius of a circular cylinder is increasing at rate of 3 cm/s while the height is decreasing at a rate of 4 cm/s. a.) How fast is the surface area of the cylinder changing when the radius is 11 cm and the height is 7 cm? (use A =2 pi r2 +2 pi rh ) b.) Based on your work and answer from part (a),is the surface area increasing or decreasing at the same moment in time? How do...
how do you calculate rate of change for a side length of a cube. when the...
how do you calculate rate of change for a side length of a cube. when the rate of change of the surface area is 24in^2/hour and you want to find it when the volume is 12in^3
The volume of a sphere is increasing at a rate of 6cm^3/s. Find the rate of...
The volume of a sphere is increasing at a rate of 6cm^3/s. Find the rate of change of its surface area when its volume is 32π/3 cm^3
As a large cube of ice melts at a rate of 5 cubic inches per minute,...
As a large cube of ice melts at a rate of 5 cubic inches per minute, it maintains its cubical shape. Find the rate of change of the length of the side of the ice cube at the instant when the side length is 10 inches.
As a large cube of ice melts at a rate of 5 cubic inches per minute,...
As a large cube of ice melts at a rate of 5 cubic inches per minute, it maintains its cubical shape. Find the rate of change of the length of the side of the ice cube at the instant when the side length is 10 inches.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT