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3 years ago

The cereal box shown below is a rectangular prism.

Mathematics

1 answer:

joja [24]3 years ago

3 0

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

Side 1:

A(1) = L×H

A(1) = 20×30

A(1) = 600 cm²

Side 2:

As the measurements of the side at the back of side 1 has the same measurement of side 1. then:

A(2) = 600 cm²

Side 3:

A(3) = L×W

A(3) = 20×5

A(3) = 100 cm²

Side 4:

As the measurements of the side at the back of side 4 has the same measurement of side 4. then:

A(4) = 100 cm²

Side 5:

A(5) = H×W

A(5) = 30×5

A(5) = 150 cm²

Side 6:

As the measurements of the side at the back of side 5 has the same measurement of side 5. then:

A(6) = 150 cm²

Surface Area:

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

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CaHeK987 [17]

Let's take this problem step-by-step:

Let's first set up some variables:

c: # of children
a: # of adults

Let's examine the information given:

Elevator can hold a maximum of 1500 pounds

⇒ average child is 75 pounds

⇒ average adult is 150 pounds

⇒ therefore: $75c + 150a\leq 1500$

Elevator can fit no more than 14 people

⇒ therefore: $c + a \leq 14$

Let's graph the equations:

$75c+150a\leq 1500\\c+a\leq 14$

⇒ look at the image attached

The point at which the two graphs intersect:

⇒ is the solution that represents the amount of children and adults and

their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!

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4 years ago

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pickupchik [31]

Answer:

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3 years ago

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Rom4ik [11]

Answer:

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grandymaker [24]

Answer:

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Hope it helped!

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2 years ago