Trevor recorded the amount of material collected for recycling at his school for 5
1 answer:
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Answer:
Surface area is found:
Surface Area = 1700 cm²
Step-by-step explanation:
(The cereal box is shown in the ATTACHMENT)
The surface area of a rectangular prism can be found by added the areas of all 6 sides of the rectangular prism.
L = length = 20 cm
H = height = 30 cm
W = Width = 5 cm
<h3 /><h3>Side 1:</h3>A(1) = L×H
A(1) = 20×30
A(1) = 600 cm²
<h3>Side 2:</h3>As the measurements of the side at the back of side 1 has the same measurement of side 1. then:
A(2) = 600 cm²
<h3>Side 3:</h3>A(3) = L×W
A(3) = 20×5
A(3) = 100 cm²
<h3>Side 4:</h3>As the measurements of the side at the back of side 4 has the same measurement of side 4. then:
A(4) = 100 cm²
<h3>Side 5:</h3>A(5) = H×W
A(5) = 30×5
A(5) = 150 cm²
<h3>Side 6:</h3>As the measurements of the side at the back of side 5 has the same measurement of side 5. then:
A(6) = 150 cm²
<h3>Surface Area:</h3>Adding areas of all the sides
A(1) + A(2) + A(3) +A(4) + A(5) + A(6) = 600 + 600 + 100 +100 + 150 +150
Surface Area = 1700 cm²
Answer:
The area is changing at 15.75 square feet per second.
Step-by-step explanation:
The triangle between the wall, the ground, and the ladder has the following dimensions:
H: is the length of the ladder (hypotenuse) = 10 ft
B: is the distance between the wall and the ladder (base) = 6 ft
L: the length of the wall (height of the triangle) =?
dB/dt = is the variation of the base of the triangle = 9 ft/s
First, we need to find the other side of the triangle:
Now, the area (A) of the triangle is:
Hence, the rate of change of the area is given by:
Therefore, the area is changing at 15.75 square feet per second.
I hope it helps you!