FEITE 19. Use Representations to Communicate Mathematical Ideas (1)(E) Use the diagram at the right. 2)→ a. Find the three coordinates of each vertex A, B, C, and D of the rectangular prism. b. Find AB. us c. Find BC. d. Find CD. e. Find the total surface area of the prism. 5岁 2 4 B

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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19. has subparts; a, b, c, d - please show the steps
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
20 mm
17. 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?
yns Mathemat
Relationships (1)(F) chores Cylinder and
Hey are different
19. 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.
c. Find BC.
2
d. Find CD.
e. Find the total surface area of the prism.
(X, Y, Z) →
Lengths
14
B
"NEW"
Origir
91
D
Transcribed Image Text: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 20 mm 17. 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? yns Mathemat Relationships (1)(F) chores Cylinder and Hey are different 19. 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. c. Find BC. 2 d. Find CD. e. Find the total surface area of the prism. (X, Y, Z) → Lengths 14 B "NEW" Origir 91 D
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