Question

A cube is cut into 125 pieces of equal volume. (a) What is the ratio the...

A cube is cut into 125 pieces of equal volume.
(a) What is the ratio the length of a side of the smaller cube to that of the original cube? Express you answer in decimal form.
  
(b) What is the ratio of the surface area of the smaller cube to that of the original cube?
  
(c) What is the ratio of the surface area of all the smaller cubes to that of the original cube?
  
(d) Repeat part (b) but this time consider one large sphere and 125 smaller spheres of equal volume such that the sum of their volumes equals that of the large sphere.
  

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

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
A cube is painted red on all its faces and then cut into 125 small cubes....
A cube is painted red on all its faces and then cut into 125 small cubes. One of the smaller cubes is then randomly selected. What is the probability that the cube selected will have at least 25 percent of its surface area painted red?
We can experiment with two parallelepipeds (boxes) that are similar in shape. The dimensions of the...
We can experiment with two parallelepipeds (boxes) that are similar in shape. The dimensions of the smaller box are 2 in. x 4 in. x 3 in. The larger box has twice the dimensions of the smaller . Draw and label the large box 1. Surface area (SA) of a box is the sum of the areas of all six sides. Compare the SAs of the two boxes. top or bottom front or back side total surface area small box...
The Setup: A piece of wire of length 10 cm is cut into two (not necessarily...
The Setup: A piece of wire of length 10 cm is cut into two (not necessarily equal length) pieces. One piece of length x cm is made into a circle and the rest is made into a square. 1. Express the sum of the areas of the square and circle as a function of x 2. For what x-value is maximum area achieved? 3. For maximum area, how should the wire be bent? 4. Find the critical values of your...
Instructions: Choose 8 of the 10 problems below. Show your work in detail. Answer the questions...
Instructions: Choose 8 of the 10 problems below. Show your work in detail. Answer the questions directly in this template. Before doing this, it is highly recommending that you thoroughly review the three examples in the Unit Lesson. Consider two stable isotopes, helium-3 and helium-4. How many neutrons and protons are there in each isotope? What are the mass numbers? Hint: Do not confuse mass number with atomic mass. Review the definition of them. If two protons and two neutrons...
MATH125: Unit 1 Individual Project Answer Form Mathematical Modeling and Problem Solving ALL questions below regarding...
MATH125: Unit 1 Individual Project Answer Form Mathematical Modeling and Problem Solving ALL questions below regarding SENDING A PACKAGE and PAINTING A BEDROOM must be answered. Show ALL step-by-step calculations, round all of your final answers correctly, and include the units of measurement. Submit this modified Answer Form in the Unit 1 IP Submissions area. All commonly used formulas for geometric objects are really mathematical models of the characteristics of physical objects. For example, a basketball, because it is a...
QUESTION 1: A +1.80 μC point charge is sitting at the origin. A: What is the...
QUESTION 1: A +1.80 μC point charge is sitting at the origin. A: What is the radial distance between the 500 V equipotential surface and the 1000 V surface? Express your answer in meters to three significant figures. B: What is the distance between the 1000 V surface and the 1500 V surface? Express your answer in meters to three significant figures. C: Explain why the answers to Part A and Part B are not the same. QUESTION 2: Here...
3. A large box is made from a piece of cardboard that measures 10ft by 10ft...
3. A large box is made from a piece of cardboard that measures 10ft by 10ft . Squares of equal size (side length x) will be cut out of each corner. The sides will then be folded up to form a rectangular box. a) Write down a formula for V(x), the volume of the cardboard box. b) What are the critical values for V(x)? c) What size square should be cut from each corner to obtain maximum volume? d) What...
. Suppose a vertical pipe is to be used as part of a system to manually...
. Suppose a vertical pipe is to be used as part of a system to manually cycle nutrients upward from the floor of a lake. (Many lakes do this naturally, some do not. Green Lake, near Syracuse, NY, is one such lake.) A pump is to be installed on the lake floor at the base of the pipe. The base of the pipe will have a diameter of 9 cm. The nozzle of the pipe at the top will have...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme...
MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B,...
21. The “prisoner’s dilemma” facing a cartel is that A) what is good for the cartel...
21. The “prisoner’s dilemma” facing a cartel is that A) what is good for the cartel is bad for society as a whole B) the production level that is best for a self-interested firm may not be what is best for the cartel as a whole C) what is good for the cartel as a whole is to maximize production; the dilemma is that individual cartel members may not want to share technology secrets with other firms D) the profit-maximizing...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT