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aleksley [76]
3 years ago
12

Can someone find the surface area please

Mathematics
2 answers:
Elina [12.6K]3 years ago
4 0
The surface area consists of lateral edges area, the upper base and the lower base area.

Find lateral edges area
The lateral edges consists of 3 rectangles with similar dimension, 6 cm long and 3 cm wide.

area = 3 × area of a rectangle
area = 3 × l × w
area = 3 × 6 × 3
area = 54

The area of lateral edges is 54 cm²


Find the surface area

sa = area of lateral edges + area of upper base + area of lower base
sa = 54 + 15.6 + 15.6
sa = 85.2

The surface area of the prism is 85.2 cm²
lozanna [386]3 years ago
3 0
To find the surface area of any object, the first step that you must do is find all shapes that are present in the object.

Here we have 2 triangles and 3 rectangles.

Knowing this, simply find the area of each shape.

Since the triangles are the same, one is facing up and the other down, they both would be 15.6 cm^2.

The rectangles would be 54 cm^2. as there are 3 ( 6 x 3 cm) ones.

Add the values up to have the surface area.

It’s 85.2 cm^2.
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Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)
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The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
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x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

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The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
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