Question

Can some help he figure this out

Is the anwser 647?
The area is 1/2 x b x h
PLEASE HELP

Answer 1

• 630ft^2

Explanation :

The surface area of a triangular prism is given by,

• TSA = (S1 + S2 + S3)L + BH

where,

• S1,S2 and S3 = sides of the prism
• L = Length
• B = breadth
• H = height

here,

• S1,S2 and S3 = 5ft, 12ft and 13ft
• L = 19ft
• B = 5ft
• H = 12ft

plugging in the values,

• TSA = (5ft + 12ft + 13ft)19ft + 5ft x 12ft
• TSA = (30ft x 19ft) + 60ft^2
• TSA = 570ft^2 + 60ft^2
• TSA = 630ft^2

thus, the total surface area of the prism is 630ft^2.

Answer 2

630 ft²

Explanation:

The surface area of a triangular prism where the triangular bases are right triangles is given by the formula:

`\boxed{\begin{array}{l}\underline{\textsf{Surface Area of a Right Triangular Prism}}\\\\SA=ab+h(a+b+c)\\\\\textsf{where:}\\\\\phantom{ww}\bullet\;\textsf{$SA$ is the total surface area.}\\\phantom{ww}\bullet\;\textsf{$a$ and $b$ are the legs of the right triangular base.}\\\phantom{ww}\bullet\;\textsf{$c$ is the hypotenuse of the triangular base.}\\\phantom{ww}\bullet\;\textsf{$h$ is the height of the prism.}\\\end{array}}`

In this case:

• a = 12 ft
• b = 5 ft
• c = 13 ft
• h = 19 ft

Substitute the values into the formula and solve for SA:

`SA=ab+h(a+b+c)`

`SA=(12)(5)+19(12+5+13)`

`SA=60+19(30)`

`SA=60+570`

`SA=630\; \sf ft^2`

Therefore, the surface area of the given right triangular prism is 630 ft².