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xeze [42]
2 years ago
15

The solid surface area is equal to the solid volume. Find the value of x? The measurements of the rectangular prism is 9 inches

long and 4 inches wide. Height is not listed. socratic.org
Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

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KIM [24]

Answer:

$56.10

Step-by-step explanation:

The first step is to multiply the values.

28.50 for large.

27.60 for small.

Add them together.

You get 56.10.

8 0
2 years ago
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A triangle has an area of 36 cm². The base and height are scaled by a factor of 5.
stepan [7]

Answer:

Step-by-step explanation:

0.5bh = 36

0.5(5b)(5h) = 25(0.5bh) = 25 × 36 = 900 sq cm

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3 years ago
Can someone help meeee pleaseeee!!!
inna [77]
I took the test it’s 29
4 0
3 years ago
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
lapo4ka [179]

Answer:

John is 17,

Susan is 14,

and Khalid is 9.

Step-by-step explanation:

a = John's age

b = Susan's age

c = Khalid's age

Let's set our rules from the given information.

a = b + 3

c = b - 5

a + b + c = 40

Now, we can solve for b through substitution.

(b + 3) + b + (b - 5) = 40

3b - 2 = 40

3b = 42

b = 14

So, now that we have Susan's age, we can follow the rules and see if it holds.

17 + 14 + 9 = 40 Viola!

8 0
3 years ago
which similar triangle, the ratios of all theee pairs of corresponding sides add never equal true or false
faltersainse [42]

The ratio of all the corresponding sides of the triangle are equal to each other.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Two triangles are said to be similar if they have the same shape and the same corresponding angles.

Also, the ratio of all the corresponding sides of the triangle are equal to each other.

Find out more on equation at: brainly.com/question/2972832

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