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KonstantinChe [14]
3 years ago
12

How do you find the surface area for this shape?

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

  • total area is the total of the areas of each of the rectangular surfaces
  • 67 units²

Step-by-step explanation:

Add up the surface areas of each of the 6 faces.

There are two top/bottom faces with the same area, two left/right faces with the same area, and two front/back faces with the same area. So you only need to figure the areas for 3 faces, then multiply that sum by 2. Of course the area of each rectangle is the product of its length and width. For length, width, and height dimensions L, W, and H, the total area is ...

A = 2(LW +WH +LH)

  = 2(LW +H(L+W)) . . . . . I like this form because there's one less multiplication

  = 2(5·4 + 1.5(5+4)) = 2(20 +13.5)

A = 67 . . . units²

_____

<em>Comment on dimensions</em>

It does not matter which number you use for length, width, or height. The problem is symmetrical that way, so any of the dimensions can be called any of those things. You need to use the same number consistently for height (for example) once you have made the choice of which is which.

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1 of 3
Nonamiya [84]

Answer:

y = -1/2x + 3.5

Step-by-step explanation:

The gradients of perpendicular lines multiply to make -1. The gradient of the line given is 2, so 2 multiplied by something gives us -1. 2 × -1/2 = -1. The gradient of the perpendicular line is -1/2

y = -1/2x + c

Now we can substitute x = 1 and y = 3 into the equation:

  • 3 = -1/2(1) + c
  • 3 = -1/2 + c
  • c = 3 + 1/2
  • c = 3 1/2 or 3.5 or 7/2

The equation of the line is y = -1/2x + 3.5

Hope this helps!

3 0
3 years ago
The are of a rectangular community the graden is 300 square feet. The length of a rectangular graden is three times its width. F
Keith_Richards [23]

Answer:

  • length: 30 ft
  • width: 10 ft

Step-by-step explanation:

The description of the garden fits that of 3 squares arranged side-by-side. The area of each of those would be 100 ft², so their side length would be ...

  s = √A= √(100 ft²) = 10 ft

This dimension is the width of the garden, whose length is 3 times this amount.

The length and width of the garden are 30 ft and 10 ft, respectively.

3 0
3 years ago
If 10 candy cost $35. How much candy can I buy with $20
Alika [10]

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

8 0
2 years ago
At a county concert the ratio of the number of boys to the number of girls is 2:7 if there are 250 more girls than boys how many
kipiarov [429]
For a 2:7 ratio there would be 100 boys and 350 girls
8 0
3 years ago
Solve for m GHI if m GHJ = 59° and m JHI = 39º.
Setler79 [48]

Answer:

m GHI = 82°

Step-by-step explanation:

59+39=98

180-98=82 <==== answer

180 is the total amount of degree

7 0
3 years ago
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