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o-na [289]
3 years ago
12

The diagram shows the net of a juice box. The box is a rectangular prism.

Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

269.6 square centimeters

Step-by-step explanation:

<u><em>The correct question is</em></u>

The diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm

we know that

The surface area of a rectangular prism is equal to

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

L=6.4\ cm\\W=4\ cm\\H=10.5\ cm

<em>Find the area of the base B</em>

B=LW

substitute the given values

B=(6.4)(4)=25.6\ cm^2

<em>Find the perimeter of the base P</em>

P=2(L+W)

substitute the given values

P=2(6.4+4)=20.8\ cm

<em>Find the surface area</em>

SA=2B+PH

substitute  

SA=2(25.6)+(20.8)10.5=269.6\ cm^2

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Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:

<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>

\boxed{A. \ 1.50h+4}

From the problem, we know the following data of the problem:

  • Laval parked at the beach.
  • Laval paid a fixed price of $4 for a pass.
  • Laval paid $1.50 for each hour.

Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:

Step 1: Since we have a fixed price, this value will appear in our expression:

4

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

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Finally, we can write total cost (C) as the sum of these two expressions:

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Finally, our correct option is A:

\boxed{1.50h+4}

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>

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Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5

Finally, he spent 5 hours at the beach

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