MATH SOLVE

2 months ago

Q:
# use the net to find the surface area of the prism

Accepted Solution

A:

Answer:The correct answer is last option. 96 in²Step-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 rectangles1) 3 x 72) 4 x 73) 5 x 7Dimension of triangle : - 3 x 4 x 5To find the area of rectangles1). Length = 7 and breadth = 3 then area = lb = 7x3 = 212). Length = 7 and breadth = 4 then area = lb = 7x4 = 283). Length = 7 and breadth = 5 then area = lb = 7x5 = 35Total area of rectangle = 21 + 28 + 35 = 84 square inchesTo find area of triangleArea = bh/2 where b - base and h - heighthere b= 3in and h = 4inArea = bh/2 = (3x4)/2 = 6 square inchesTotal area of 2 triangles = 2x 6 = 12 square inchesTo find the total area of PrismTotal area = area of rectangles + area of triangle = 84 + 12 = 96 square inchesThe last option is the correct answer.