What is the surface area of this shape?

Anewer:

Step-by-step explanation:

Hey there!

Given figure is a triangular based prism. Where the triangle is right angled triangle.

So,

Hypotenuse (h) = 6.5m

Perpendicular (p) =2.5 m

Base (b) = 6m

Length of triangular prism (l) = 10m.

We have;

Lateral surface area= Perimeter*length of prism.

LSA = (6.5+2.5+6) * 10

LSA = 15*10

Therefore, LSA of the shape is 150 m².

Now, Area of base=( 1/2 )*b*p

= (1/2)*(6*2.5)

= 7.5 m²

Therefore, area of base = 7.5 m²

Now, TSA= 2*Area of base+LSA

= (2*7.5 + 150) m²

= 165 m²

Therefore, the Total surface area is 165 m².

Hope it helps

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you