15. has subparts; a, b, c, d, e - please show the steps 12. Apply Mathematics (1)(A) A cylindrical carton of oatmeal with radius 3.5 in.is 9 in. tall. If all surfaces except the top are made of cardboard, how muchcardboard is used to make the oatmeal carton? Assume no surfaces overlap.Round your answer to the nearest square inch.13 Apply Mathematics (1)(A) A hexagonal pencil is a regularhexagonal prism, as shown at the right. A base edge of thepencil has a length of 4 mm. The pencil (without eraser)has a height of 170 mm. What is the area of the surface orthe pencil that gets painted?Ide +EXsurfe15. Consider a box with dimensions 3, 4, and 5.a. Find its total surface area.b. Double each dimension and then find the new total surface area.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.e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of arectangular prism affect the total surface area?5. Connect Mathematical Ideas (1)(F) A cylindrical beadhas a square hole, as shown at the right. Find the area ofthe surface of the entire bead.3 mm.20 mm". A triangular prism has base edges 4 cm, 5 cm, and 6 cmlong. Its lateral area is 300 cm². What is the height of the prism?Analyns Mathematical Relationships (4)(F)Phovaley are differemUse Representations to Communicate Mathematical Ideas (1)(E) Use thediagram at the right.a. Find the three coordinates of each vertex A, B, C, and Dof the rectangular prism.b. Find AB.TILC. Find BC.24H. Find CD.B. Find the total surface area of the prism."1Original"T9 mmI"NEW14D

Wen are authorized to answer three subparts at a time, so we are answering the first three subparts,…

15. Consider a box with dimensions 3, 4, and 5. a. Find its total surface area. b. Double each dimension and then find the new total surface area. c. Find the ratio of the new total surface area to the original total surface area. =>

15. Consider a box with dimensions 3, 4, and 5. a. Find its total surface area. b. Double each dimension and then find the new total surface area. c. Find the ratio of the new total surface area to the original total surface area. =>

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

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Question

15. has subparts; a, b, c, d, e - please show the steps

12. Apply Mathematics (1)(A) A cylindrical carton of oatmeal with radius 3.5 in.
is 9 in. tall. If all surfaces except the top are made of cardboard, how much
cardboard is used to make the oatmeal carton? Assume no surfaces overlap.
Round your answer to the nearest square inch.
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 pencil (without eraser)
has a height of 170 mm. What is the area of the surface or
the pencil that gets painted?
Ide +EX
surfe
15. Consider a box with dimensions 3, 4, and 5.
a. Find its total surface area.
b. Double each dimension and then find the new total surface area.
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.
e. Explain Mathematical Ideas (1)(G) How does doubling the dimensions of a
rectangular prism affect the total surface area?
5. 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
". 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?
Analyns Mathematical Relationships (4)(F)
Phovaley are differem
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
of the rectangular prism.
b. Find AB.
TIL
C. Find BC.
2
4
H. Find CD.
B
. Find the total surface area of the prism.
"1
Original"
T
9 mm
I
"NEW
14
D

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