Answer:
1. Identify the problem: Packaging boxes use too much material and create waste
2. What are the equations for the volume and surface area of a cube and rectangular prism?
Volume of a cube: Vcube = L x L x L = L3
Surface area of a cube: SAcube = 6 x (L x L) = 6L2
Volume of a rectangular prism: VRP = L x W x H = LWH
Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)
3. What is the difference in surface area of the packages below? (Note that they have the same volume.)
SAcube = 6L2
= 6 (20 cm)2
= 2,400 cm2
SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2
SARP – SAcube = 2,800 cm2
– 2,400cm2
= 400 cm
Step-by-step explanation:
everything in bold is the answer
Can I please get the Brainlist
Answer:
$750
Step-by-step explanation:
The graphs of the given equations are parallel.
<h3>What is the slope-intercept form of a line?</h3>
The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equations are y = x +10 and y = x+5.
The equations are in the slope-intercept form of y = mx +b.
Therefore, the slopes of both lines are 1.
Two lines are parallel if they have the same slope.
Therefore, the graphs of the given equations are parallel.
To learn more about the slope-intercept form of a line, click here:
brainly.com/question/9682526
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Answer:
2774
Step-by-step explanation:
(6 + 5i)(4 + 7i) = 24 + 42i + 20i + 35i²
= 35i² + 62i + 24
The product of 6+5i and 4+7i is 35i² + 62i + 24.