a) A manufacturer sells marbles in rectangular boxes. He wants to increase the size of the box. Complete the chart. Box size original size: base: 4 in. by 5 in. height: 3 in. all sides doubled: base: 8 in. by 10 in. height: 6 In. all sides tripled: base: 12 in. by 15 in. height: 9 in. Base are 4 in. x 5 in. = 20 sq in. Label proa (base penmeter x height 18 in. x 3 in. = 54 Binx loin =80in2 36inx Gin 15 in x 12 in =216102 54 in kain = 180in² =486 in ² Sulface ares 2(base area) + lateral area 543 b) Suppose you double the length and width of each face of the box. By what factor does the original surface area of each face change by? 2(20 sq in.) + 44/3² = 2680in²3+216 inz 237616² 2 (180in²) +486 in² =846in2 c) Suppose you triple the length and width of each face. By what factor does the original surface area of each face change by?
a) A manufacturer sells marbles in rectangular boxes. He wants to increase the size of the box. Complete the chart. Box size original size: base: 4 in. by 5 in. height: 3 in. all sides doubled: base: 8 in. by 10 in. height: 6 In. all sides tripled: base: 12 in. by 15 in. height: 9 in. Base are 4 in. x 5 in. = 20 sq in. Label proa (base penmeter x height 18 in. x 3 in. = 54 Binx loin =80in2 36inx Gin 15 in x 12 in =216102 54 in kain = 180in² =486 in ² Sulface ares 2(base area) + lateral area 543 b) Suppose you double the length and width of each face of the box. By what factor does the original surface area of each face change by? 2(20 sq in.) + 44/3² = 2680in²3+216 inz 237616² 2 (180in²) +486 in² =846in2 c) Suppose you triple the length and width of each face. By what factor does the original surface area of each face change by?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:1. a) A manufacturer sells marbles in rectangular boxes. He
wants to increase the size of the box. Complete the chart.
Lastal area (base
OX SIZO
original size:
base: 4 in. by 5 in.
height: 3 in.
all sides doubled:
base: 8.in. by 10 in.
height: 6 In.
all sides tripled:
base: 12 in. by 15 in.
height: 9 in.
4 in. x 5 in.
= 20 sq in.
Binx loin
80102
15 in x 12 in
y
= 180in²
18 in. x 3 in.
=54
36inx Gin
=216in2
540x9in
=480in²
Silice area
2(base area) + lateral area
542
2(20 sq in.) +
"44/2²
2080in² )+216 inz
237610²
b) Suppose you double the length and width of each
face of the box. By what factor does the original
surface area of each face change by?
2 (180 in ²) +48 6 in²
=846 in 2
c) Suppose you triple the length and width of each face.
By what factor does the original surface area of each
face change by?
fee Orea
79
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