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2 years ago

Question Find the surface area of the prism. m2

Mathematics

1 answer:

Art [367]2 years ago

5 0

Answer:

324 square meters

Step-by-step explanation:

Hey there!

The surface area of a shape is the area of all the surfaces added up

The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96

Now we need to do this for the other sides

the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192

The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36

Now we add all the values: 96+192+36 which is 324

So the surface area of the prism is 324 square meters

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PLEASE HELP - Find the area of a regular octagon with a side length of 5 cm. Round to the nearest tenth. (Please explain in full

Vinil7 [7]

Answer: 482.8 sq cm

Step-by-step explanation:

The octagon is 8 isosceles triangles. Each has common side r and base 10. The central angle is 360/8 = 45°. By the Law of cosines,

10² = r² + r² - 2 r² cos 45° = 2r²(1 - √2/2) = r²(2-√2)

r² = 100/(2-√2)

The area of a triangle with sides a,b and included angle C is (1/2)ab sin C. Our 8 octagon isosceles triangles each have sides r and r and included angle 45° so our total area, 8 triangles, is

A = 8(1/2) r² sin 45° = (400/(2-√2)) (√2/2) × (2+√2)/(2+√2) = 200(1+√2)

A ≈482.84271

Answer: 482.8 sq cm

3 0

4 years ago

Read 2 more answers

Please help <br><br>number 4 and 6

KatRina [158]

Answer:

4a. See attached.

4b. 32

6. x = 4.5, LM = 7.5, LN = 10.5

Step-by-step explanation:

4b. The midline of a triangle is half the length of the baseline it is parallel to. Hence the segment FH is twice the length of CD, or 2·16 = 32.

___

6. The angle bisector MP divides the triangles segments so those on one side of it are proportional to corresponding ones on the other side of it. Here, that means ...

x/(x+3) = 6/10

10x = 6x + 18 . . . . multiply by 10(x+3)

4x = 18 . . . . . . . . . subtract 6x

x = 4.5 . . . . . . . . . divide by 4

Then segment LM is x+3 = 4.5+3 = 7.5, and LN = x+6 = 4.5+6 = 10.5.

The blanks are filled as ...

x = 4.5 LM = 7.5 LN = 10.5

4 0

3 years ago

What is the answer for 3 divided by blank equals 36

Nat2105 [25]

The answer is 12, 3 times 12 is 36

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3 years ago

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givi [52]

Yes, because 1/4 plus 1/4 equals 2/4 (or 1/2) and 3/4-2/4 equals 1/4.

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3 years ago

Blake has a glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with

NeTakaya

Answer:

32 liters is the volume of the glass tank

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2 years ago