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3 years ago

What is the surface area of this right rectangular prism? Enter your answer in the box.

Mathematics

2 answers:

shutvik [7]3 years ago

7 0

Answer: $76\ m^2$

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

$\text{Surface area}=2(lw+wh+hl)\\\\\Rightarrow\ \text{Surface area}=2(4\cdot5+2\cdot5+2\cdot4)\\\\\Rightarrow\ \text{Surface area}=2(20+10+8)\\\\\Rightarrow\ \text{Surface area}=2(38)\\\\\Rightarrow\ \text{Surface area}=76\ m^2$

Hence, he surface area of this right rectangular prism= $76\ m^2$

Anon25 [30]3 years ago

3 0

Hello!

We must use a certain formula to calculate the surface area of a rectangular prism. The formula is:

A = 2 (wl + hl + hw)

Substitute:

A = 2(4 × 5) + (2 × 5) + (2 × 4)

A = 2(20 + 10 + 8)

A = 76 cm squared

ANSWER:

The surface area of the right rectangular prism is 76 centimetres squared.

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A carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50. If the equation, C = 4550F + 37.5 ,

Tju [1.3M]

Answer:

Step-by-step explanation:

Given the total cost of the building expressed as;

C = 4550F + 37.5

C is the total cost

F is the length of the fence

Given

C = $352.50

Required

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Substitute into the formula;

C = 4550F + 37.5

$352.50 = 4550F + 37.5

4550F = 352.50 - 36.5

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2 years ago

Abigail made a quilt that has an area of 4800 square inches. The length of the quilt is 1 1/3 times the width of the quilt. What

mafiozo [28]

Answer:

L=132.66

36.18=W

Step-by-step explanation:

length=L

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Area=A

A=L×W

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4800=11/3W²

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2 years ago

What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

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$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

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3 years ago

Read 2 more answers

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Mademuasel [1]

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3 years ago