Question

Please help with the question below!

Answer 1

(answer in big text in the end :D )

1. Calculate the SA of all the sides...

There are 5 sides in this shape. 2 sides are Triangles, and 3 are rectangles. Let's call the rectangle on the base, base rectangle, let's call the large rectangle on the right, right rectangle, and the left on on the side, left rectangle. Just so that we can identify them...

Now, first, we will calculate the Triangular parts' surface area. There is a tip in this, as we know, to calculate the area of 1 triangle, we have to use this formula... $SA=\frac{1}{2} *B*H$ BUT! that's only for calculating 1 triangle, not 2, but we have 2 here, to use this shortcut, we will just do BxH not 1/2xBxH

Let's do it!

Base of triangle: 9.8ft

Height of triangle: 5.33ft

Now, we have to multiply these

9.8x5.33=52.234

Rounding to the nearest tenth... 52.2

Then, let's do the base rectangle

Length of rectangle: 9.8ft

Width of rectangle: 3.8ft

Now, multiply!

9.8x3.8=37.24

Rounding to the nearest tenth... 37.2

Now, let's do the Right Rectangle

Dimensions:

Length of rectangle: 8.5ft

Width of rectangle: 3.8ft

multiply...

8.5x3.8=32.3

no rounding in this, it's already rounded to the nearest tenth

Now, let's do the left rectangle...

Dimensions:

Length of rectangle: 6.2ft

Width of rectangle: 3.8ft

6.2x3.8=23.56

Rounded to nearest tenth... 23.6

2. Now that we have gotten the SA's of all of the shapes in this triangular prism, let's ADD them together to get our FINAL answer.

All the answers are: 52.2, 37.2, 32.3, and 23.6

adding them, our answer is: 145.3ft²

Answer 2

that is the solution to the question.