Answer:
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.
