Please help real quick with MATH PROBLEM!!?

Question

Okay:

Find the SURFACE area of a triangular prism whose height is 10, and the base is a right angle, one leg measuring 7 and one leg measuring 5.



Thanks!!!

Answer 1

S3 = sqrt(7^2 + 5^2)
= 8.60
Perimeter of base: S1+ S2 + S3 = 5 + 7+8.6
= 20.6
Area of base: ½b×h = 1/2(1/2 * 5 *7) * 10
= 87.5

The surface area of a prism = 2 × area of base + perimeter of base × H
= 2 * 87.5 + 20.6
= 195.6 cm2

Answer 2

A triangular prism is 3 rectangles placed together. I'm going to assume that the base on both sides is open for now.

The height of 10 is one side of each rectangle. You know the other sides of two rectangles (5 and 7). Now, you just need the length of the side of the thrid.

Use Pythagoreas' Theorm to get it: c^2 = a^2 + b^2

so (5^2 + 7^2)^(1/2) = (25 + 49)^(1/2) = 74^(1/2)

So, the area should be 10(5+7+74^(1/2))

Note: If the prism is closed, then you need to calculate the areas of the triangles on either end as 1/2b*h or (1/2)*5*7. Multiply by 2 because there are 2 trangles, and you get 5*7=35. So, add 35 to the above to get the total if the prism is closed.

Answer 3

The surface area of each of the two triangles at each end of the prism is 1/2 x base x height = 1/2 x 5 x 7 = 1/2 x 35 = 17.5

But there are two triangles, one at each end, so area = 35.

The rectangles that make the sides of the prism have area = base x height.

One rectangle = 5 x 10 = 50
Second rectange = 7 x 10 = 70

Third rectangle has base width found by Pythagoras for a right-angled triangle
h^2 = 5^2 + 7^2 = 25+49
h^2 = 74
h = 8.602

Area = b x h = 10 x 8.602 = 86.02

Total surface area = 35 + 70+50+86.0
= 241.0 square units.

Hope this helps.

Answer 4

Area of the 2 bases : 7 x 5 = 35
Perimeter of the base: 7 + 5 + sqrt( 74) = 20.6
Area of the sides 10 x 20.6 = 206
Total area: 206 + 35 = 241

Answer 5

5,7,10

the sides of the prisim = 3 * 10 * 5 = 150

the area of a triangle is 0.5*base*height

the height is the third side of the triangle

(height)^2 + 5^2 = 7^2

height = SQRT(49-25)

area of the triangle = 0.5*5*SQRT(24)

total surface area of prisim = 150 + 5*SQRT(24)

Answer 6

convinced, you've been ideal. Your 2d answer, inspite of the actual shown actuality that equivalent, isn't in least complicated words. searching on the priority, i'm hoping you probably did not use 18ths to do it. ensure you oftentimes analyze the numbers heavily. it is going to prevent artwork down the line.

Answer 7

area is 100 thankyou i know this really i know this this is 100