Question

What is the surface area of this shape?​

Answer 1

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....

Answer 2

Anewer:

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....