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marshall27 [118]
3 years ago
10

What is the surface area of this prism? A. 3240 m2 B. 6480 m2 C. 1656 m2 D. 3312 m2

Mathematics
2 answers:
NeX [460]3 years ago
6 0
Well take the bottom and in this case its 18 and 30 so 18 x 30 = 540 then you do the two 15's times 30 and thats 450 times the  2 is 900 so 540+900+216 = so thats 1656 m 2 :)))))))))))
Sphinxa [80]3 years ago
3 0

Answer:

The surface area of the prism is    1656 m^2.

Step-by-step explanation:

In order to obtain the surface area we need to find the areas of all the sides. Then, we have two triangles and three rectangles.

Let us find the area of the triangles and denote it by A_1. Notice that both triangles are equal. We know that the area of a triangle is

A_t = bh/2

where b stands for the length of the base, and h stands for the length of the height. From the figure we know that b=18m and h=12m. Hence, the area of the triangle is

A_t = bh/2=12\cdot 18/2=108 m^2.

To obtain the area of both sides we only need to multiply A_t by two:

A_1=2A_t=216 m^2.

Let us find now the area of the bottom rectangle and denote by A_2. The area of the rectangle is A_r = bh, where b stands for the length of the base, and h stands for the length of the height. From the figure we know h=18m and b=30m. So,

A_2=30\cdot 18 = 540m^2.

For the other two rectangle notice that they have the same dimensions: the length of the base is 30m and the length of the height is 15. So, the area of one of them is

A_3=30\cdot 15 = 450m^2.

Finally, the surface area is the result of adding all the areas:

A=A_1+A_2+2A_3 = 216 m^2 + 540 m^2 + 2\cdot 450 m^2 = 1656 m^2.

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