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. 11.

Elementary Geometry For College Students, 7e
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
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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 pench (without eraser)
has a height of 170 mm. What is the area of the surface or
the pencil that gets painted?
mun
West-Repres
Idles #HER
A
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?
16. 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.
Transcribed Image Text: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 pench (without eraser) has a height of 170 mm. What is the area of the surface or the pencil that gets painted? mun West-Repres Idles #HER A 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? 16. 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.
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