5. List the transformations for the function 1/3f(x) - 2

The correct answer is last option. 96 in²

Step-by-step explanation:

From the figure we can see that,

Total surface area prism is made up of three rectangles and two right triangles.

Dimensions of rectangles

1) 3 x 7

2) 4 x 7

3) 5 x 7

Dimension of triangle : - 3 x 4 x 5

To find the area of rectangles

1). Length = 7  and breadth = 3 then area = lb = 7x3 = 21

2). Length = 7 and breadth = 4 then area = lb = 7x4 = 28

3). Length = 7 and breadth = 5 then area = lb = 7x5 = 35

Total area of rectangle = 21 + 28 + 35 = 84 square inches

To find area of triangle

Area = bh/2 where b - base and h - height

here b= 3in and h = 4in

Area = bh/2 = (3x4)/2 = 6 square inches

Total area of 2 triangles = 2x 6 = 12 square inches

To find the total area of Prism

Total area = area of rectangles + area of triangle = 84 + 12 = 96 square inches

The last option is the correct answer.