Choose your answer in the Answer Box and Write your answer in the space provided PROBLEM No. 1 A rectangular box has dimensions 12 in, 4 in, end 4 in. If the first two dimensions is decreased and the last dimension is increased by the s amount, a second box is formed, and its volume is ive-eights of the volume of the first box. Determine the dimensions of the second box. 1. Dimensions of the first box. 2. Volume of the first box. 3. Volume of the second box. (Hint: five-eights of the volume of the first box) 4. First dimension of the second box. (Note: use variables to indicate decrease) 5. Second dimension of the second box. (Note: use variables to indicate decrease) 6. Third dimension of the second box. (Note: use variables to indicate increase) 7. Working equation for the dimension of the second box. 8. Dimensions of the second box. Answer Box (12- x) in (x + 4) in 10 in x 2 in x 4 in 14 ina (x - 4) in (4- x) in (12-x) (4-x) (4+x)- 192 120 in (x-12) (x-4) (x+4)- 20 20 in 192 in (x - 12) in 12 in x 4 in x 4 in 16 in (12-x) (4-x) (4+x)- 120 (4+ x) in PROBLEM NUMBER 2. The length of a rectangular bin is 2 ft more than its width and the height is 3 ft less than its width. Find the dimensions of the bin if its volume is 70 ft.
Choose your answer in the Answer Box and Write your answer in the space provided PROBLEM No. 1 A rectangular box has dimensions 12 in, 4 in, end 4 in. If the first two dimensions is decreased and the last dimension is increased by the s amount, a second box is formed, and its volume is ive-eights of the volume of the first box. Determine the dimensions of the second box. 1. Dimensions of the first box. 2. Volume of the first box. 3. Volume of the second box. (Hint: five-eights of the volume of the first box) 4. First dimension of the second box. (Note: use variables to indicate decrease) 5. Second dimension of the second box. (Note: use variables to indicate decrease) 6. Third dimension of the second box. (Note: use variables to indicate increase) 7. Working equation for the dimension of the second box. 8. Dimensions of the second box. Answer Box (12- x) in (x + 4) in 10 in x 2 in x 4 in 14 ina (x - 4) in (4- x) in (12-x) (4-x) (4+x)- 192 120 in (x-12) (x-4) (x+4)- 20 20 in 192 in (x - 12) in 12 in x 4 in x 4 in 16 in (12-x) (4-x) (4+x)- 120 (4+ x) in PROBLEM NUMBER 2. The length of a rectangular bin is 2 ft more than its width and the height is 3 ft less than its width. Find the dimensions of the bin if its volume is 70 ft.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
Related questions
Question
Transcribed Image Text:Choose your answer in the Answer Box and Write your answer in the space provided:
TASK:
PROBLEM No. 1
A rectangular box has dimensions 12 in, 4 in, and 4 in. If the first twa
dimensions is decreased and the last dirmension is increased by the same
amount, a second box is formed, and its volume is five-eights of the volume
of the first box. Determine the dimensions of the second box.
1. Dimensions of the first box.
2. Volume of the first box.
3. Volume of the second box.
(Hint: five-eights of the volume of the first box)
4. First dimension of the second box.
(Note: use variables to indicate decrease)
5. Second dimension of the second box.
(Note: use variables to indicate decrease)
6. Third dimension of the second box.
(Note: use variables to indicate increase)
7. Working equation for the dimension of the
second box.
8. Dimensions of the second box.
Answer Box
(12 - x) in
(x + 4) in
10 in x 2 in x 4 in
14 in
(x- 4) in
(4 - x) in
(12-x) (4-x) (4+x)- 192
120 in
(x-12) (x-4) (x+4)- 20
20 in
192 in
(x- 12) in
12 in x 4 in x 4 in
16 in
(12-x) (4-x) (4+x)- 120
(4 + x) in
PROBLEM NUMBER 2.
The length of a rectangular bin is 2 ft more than its width and the height
is 3 ft less than its width. Find the dimensions of the bin if its volume is
70 fte.
Solutions:
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL