2. Find the ratio of the new total surface area to the original total surface area. => d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11. e. Explain Mathematical Ideas (1)G) How does doubling the dimensions of a rectangular prism affect the total surface area? "NEW Origi
2. Find the ratio of the new total surface area to the original total surface area. => d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11. e. Explain Mathematical Ideas (1)G) How does doubling the dimensions of a rectangular prism affect the total surface area? "NEW Origi
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
Related questions
Question
Please solve 15 - subparts d and e. Show steps
![14.2
M
12. Apply Mathematics (1)(A) A cylindrical carton of oatmeal with radius 3.5 in. (3.5) +2π (3.5) (9)
is 9 in. tall. If all surfaces except the top are made of cardboard, how much JT [12.29 +6⁹]
cardboard is used to make the oatmeal carton? Assume no surfaces overlap.
Round your answer to the nearest square inch.
75.28 in2
13 Apply Mathematics (1)(A) A hexagonal pencil is a regular
hexagonal prism, as shown at the right. A base edge of the
pencil has a length of 4 mm. The pench (without eraser)
has a height of 170 mm. What is the area of the surface of
the pencil that gets painted?
Ides #EX
surf
15. Consider a box with dimensions 3, 4, and 5.
a. Find its total surface area. 2(12420 +15), 2 (47), A = 94
)+ b. Double each dimension and then find the new total surface area. 2 (188)
c. Find the ratio of the new total surface area to the original total surface area. >>
d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11.
A = 376
"NEW
376
94
e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of a
rectangular prism affect the total surface area?
6. Connect Mathematical Ideas (1)(F) A cylindrical bead
has a square hole, as shown at the right. Find the area of
the surface of the entire bead.
3 mm.
20 mm
7. A triangular prism has base edges 4 cm, 5 cm, and 6 cm
long. Its lateral area is 300 cm². What is the height of the prism?
linder and
3r-Analyas Mathematical Relationships (1)(6) 201
Prowane are different.
9. Use Representations to Communicate Mathematical Ideas (1)(E) Use the
diagram at the right.
a. Find the three coordinates of each vertex A, B, C, and D D= (0,5,4) 24
of the rectangular prism. A=(3,0,0), B=(3,5,0), C= (0,5,0), 0-(0₂)
b. Find AB.
(3-3)2 + (5-0)²+ (0-0)2=5
c. Find BC.
(0-3)² + (5-5)² + (0-0)² =3
2
d. Find CD. √(0-0)²+(5-5)² + (4-0)2 = 4
e. Find the total surface area of the prism.
"1
"Original"
4
9 mm
YZ
4/
B
D
1 ÷ 94 = 4
4:1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50098abc-5959-42c6-af74-c1f5e7cca4be%2Febb6d54a-d1c2-463c-b177-63e3a7963c22%2Fwcdiq1b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:14.2
M
12. Apply Mathematics (1)(A) A cylindrical carton of oatmeal with radius 3.5 in. (3.5) +2π (3.5) (9)
is 9 in. tall. If all surfaces except the top are made of cardboard, how much JT [12.29 +6⁹]
cardboard is used to make the oatmeal carton? Assume no surfaces overlap.
Round your answer to the nearest square inch.
75.28 in2
13 Apply Mathematics (1)(A) A hexagonal pencil is a regular
hexagonal prism, as shown at the right. A base edge of the
pencil has a length of 4 mm. The pench (without eraser)
has a height of 170 mm. What is the area of the surface of
the pencil that gets painted?
Ides #EX
surf
15. Consider a box with dimensions 3, 4, and 5.
a. Find its total surface area. 2(12420 +15), 2 (47), A = 94
)+ b. Double each dimension and then find the new total surface area. 2 (188)
c. Find the ratio of the new total surface area to the original total surface area. >>
d. Repeat parts (a)-(c) for a box with dimensions 6, 9, and 11.
A = 376
"NEW
376
94
e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of a
rectangular prism affect the total surface area?
6. Connect Mathematical Ideas (1)(F) A cylindrical bead
has a square hole, as shown at the right. Find the area of
the surface of the entire bead.
3 mm.
20 mm
7. A triangular prism has base edges 4 cm, 5 cm, and 6 cm
long. Its lateral area is 300 cm². What is the height of the prism?
linder and
3r-Analyas Mathematical Relationships (1)(6) 201
Prowane are different.
9. Use Representations to Communicate Mathematical Ideas (1)(E) Use the
diagram at the right.
a. Find the three coordinates of each vertex A, B, C, and D D= (0,5,4) 24
of the rectangular prism. A=(3,0,0), B=(3,5,0), C= (0,5,0), 0-(0₂)
b. Find AB.
(3-3)2 + (5-0)²+ (0-0)2=5
c. Find BC.
(0-3)² + (5-5)² + (0-0)² =3
2
d. Find CD. √(0-0)²+(5-5)² + (4-0)2 = 4
e. Find the total surface area of the prism.
"1
"Original"
4
9 mm
YZ
4/
B
D
1 ÷ 94 = 4
4:1
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