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dem82 [27]
3 years ago
5

16 POINTS!! The solid in the diagram has a surface area of 18 units2. If a cube is added on the green face, what will the new su

rface area be? A) 20 units2 B) 21 units2 C) 22 units2 D) 23 units2

Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0
The complete question in the attached figure

Let 
x------> length side of a cube

we have that
[surface area original]=18 units²

surface area original=x²*[number of faces]
number of faces=2*[4+4+1]-----> 18 faces

surface area original=x²*[18]
18=18*x²-------> x²=18/18---------> x=1 unit

<span>If a cube is added on the green face,the new surface area will be
</span>18+4*[area of one faces]-----> 18+4*1²----> 22 units²

the answer is
22 units²

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Write the slope intercept form of the equation of the line through the given point
ozzi

Answer:

y =  -\frac{3}{4}x

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slope-intercept form: y = mx + b

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3 years ago
Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
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Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

<em><u>Dimensions of Shed</u></em>

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

<u>Solution</u>

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

<u>Total Area = Wall Area+Ceiling Area </u>=102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

<em>Note: Converted Square foot to square yard as the problem requires that.</em>

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