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aleksklad [387]
3 years ago
6

Is it possible to find a value of $x$x​ so that the value of the surface area (in square inches) is equal to the value of the vo

lume (in cubic inches)? A rectangular prism with length labeled x inches, width labeled 6 inches, and height labeled 3 inches.
Mathematics
1 answer:
mr_godi [17]3 years ago
3 0

Answer:

No, it’s not possible according to calculations

Step-by-step explanation:

Mathematically, the area of a rectangular prism is;

2(wl + wh + lh)

Where w is the width, l is the length and h is the height;

Making the substitutions with values in the question

Surface area = 2(6x + 3x + 3(6))

Surface Area = 2(9x + 18) = 18x + 36 square inches

Volume of rectangular prism = l * w * h

Making substitutions;

V = x * 6 * 3 = 18x cubic inches

So therefore to get the value of x, we equate the surface area to the volume;

18x = 18x + 36

We can see that 18x will cancel out and will render our equation invalid

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Please can someone help!
Rom4ik [11]

Answer:

51 mph

Step-by-step explanation:

→ The first thing we need is a formula which links speed, distance and time so,

Speed = Distance ÷ Time

Speed = mph

Distance = metres/miles

Time = hours

→ Since we want to work out the average speed of the entire journey we need to first work out the total distance and total time. Using the first sentence of the paragraph, it says that <em>the car travels at an average speed of 45 mph for 40 minutes, </em>we can rearrange the formula to work out the distance so,

Speed = Distance ÷ Time

→ Rearrange to get distance as subject

Distance = Speed × Time

→ Substitute in the values

Distance = 45 × 40

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

40 ÷ 60 = 0.666666667

→ Substitute in the time value multiplied by the speed

Distance = 45 × 0.666666667 = 30

⇒ 30 metres/miles is overall distance for the first part of the journey

→ Now we have to work out the distance for the second part of the journey. State the distance formula.

Distance = Speed × Time

→ Substitute in the values into the distance formula

Distance = 60 × 25

→ Remember that the time is hours but we substituted in minutes so we divide the time value by 60

25 ÷ 60 = 0.416666667

→ Substitute in the time value multiplied by the speed

Distance = 60 × 0.416666667 = 25

⇒ 25 metres/miles is overall distance for the second part of the journey

→ Now we have to add the distance of both the journeys together

25 + 30 = 55

→ Then we add the times of the journey together

40 minutes + 25 minutes = 65 minutes

→ Convert 65 minutes into hours

65 ÷ 60 = 1.08333 hours

→ Substitute both values into the speed = distance ÷ time formula

Speed = 55 ÷ 1.08333 = 50.76923077

→ The question says to round it to the nearest whole number so,

50.76923077 = 51 mph

7 0
3 years ago
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Can you conclude that this parallelogram is a rectangle? Explain.
maxonik [38]

I think it yes the diagonals are congruent but I can’t really tell

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Sam is using the expression 8mn in class. What is the value of the expression when m = 4 a n d n = 12 ?
goldfiish [28.3K]

Answer:

8 x 4 x 12 = 384

Step-by-step explanation:

8 x 4 x 12 = 384

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