A small box in the shape of a cube for packaging has a volume of 216 cubic inches. (a) For a medium box, the length, width, and height are all tripled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Please show work. (b) What is the volume of a medium box? Please show work

A small box in the shape of a cube for packaging has a volume of 216 cubic inches. (a) For a medium box, the length, width, and height are all tripled. What is the ratio of the sides, area of the bases, and volumes of the boxes? Please show work. (b) What is the volume of a medium box? Please show work

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

See similar textbooks

Related questions

Q: A couple plans to tile their guest bedroom and bathroom floors. 6ft 14ft 3ft 18ft 4ft a. Find the…

A: a. Area of guest room floor, A=Area of guest bed room +Area of guest bathroom.…

Q: 1 Mr Chan saved $750 of his monthly salary and gave the rest to Adam and Ben in the ratio 5:2. Ben…

Q: Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with a dimensions 40…

A: Given: Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions…

Q: Simple Math? How many cubic feet is a box measuring 18"x18"x16"?

A: Given query is to find the volume of the box.

Q: Scotch is looking to make a larger size roll of duct tape. The current roll is shown in the photo.…

A: First finding the volume of original roll

Q: A car wash has a weekly ad in the local newspaper that is 2 inches wide and 4 inches high and costs…

Q: Patrick wants to hang up a poster that is 1 3/4 feet wide and 2 5/8 feet long. How much wall space…

Q: You want to put a 5 inch thick layer of topsoil for a new 22 ft by 20 ft garden. The dirt store…

A: Lets first make sure all units are consistent. For the purposes of this problem, let's work with…

Q: A farmer wants to fence a rectangular lot. Additional fencing is needed to sub-divide the area into…

A: A farmer wants to fence a rectangular lot.Additional fencing is needed to subdivide the area into…

Q: Caryn needs to fill her new aquarium with water. The aquarium measures 1.5 meters by 2 meters by 0.5…

A: Given, measurement of aquarium 1.5m by 2m by 0.5m

Q: 1. A rectangular prism is shown below is made up of equal sized cubes. Each cube has a side length…

A: The figure of a rectangular prism is given by To evaluate: The volume of the rectangular prism if…

Q: cubic yards

A: First, let's find the area of the garden: area = 31 ft * 24 ft = 744 sq ft Next, let's convert the 2…

Q: is recommended that for every 9 square feet of surface, a pond should have no more than 2 fish. Mr.…

Q: You are installing a wood fence. The fence is 120 feet long. East wood slat to be installed…

Q: 15 people can fit comfortably into a 5 x 5 feet square. What is the ratio of number of people and…

Q: A rectangular room that measures 13 feet by 20 feet with ceilings of 9 feet needs to be painted. I…

Q: 4. Find the ratio of two rectangles 8 ft. by 12 ft. and 6 ft. by 9 ft.

A: answer is in next step

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: The given data is:

VIEW

Step 2: a) For medium box

VIEW

Step 3: b) Find the volume of the medium box

VIEW

Solution

VIEW

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A baking dish is 9 inches long, 9 inches wide, and 2 inches tall. What is the total volume of the baking dish? A. 20 cubic inches B. 27 cubic inches C. 83 cubic inches D. 162 cubic inches
What is the least amount of material I can use to manufacture an open-top box with the length of the base twice the width of the base and a volume of 36,000 cu. in.? 12. 12.
Hi! I need complete solution thank you! :) An illustration board measuring 5 feet by 4 feet needs to be cut into small squares measuring 4 inches by 4 inches. What is the greatest number of squares which can be cut from the illustration board?
One rectangular prism is sitting on top of another. What is the combined volume, in cubic inches, of the rectangular prisms?
If a rectangular garden is 6 feet long and 4 feet wide and there are 10 vegetables planted; what is the density of vegetable plants in the garden? 2.53 vegetable plants per square foot. 0.42 vegetable plants per square foot. 2.40 vegetable plants per square foot. 1.61 vegetable plants per square foot.
The Gottesmann family is filling their swimming pool. The perimeter of the pool is rectangular. Below is a diagram of the shape of the bottom of the pool. Mr. Gottesmann filled the shaded region of the pool with 401 gallons of water. Which is the best estimate of the number of additional gallons it will take to fill the rest of the swimming pool?