Question

The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?

Answer 1

Answer:

152 units²

Step-by-step explanation:

Surface Area :

• Area (2 triangles) + Area (2 rectangles) + Area (middle rectangle)
• 2 x 1/2 x 6 x 4 + 2 x 8 x 5 + 8 x 6
• 24 + 80 + 48
• 80 + 72
• 152 units²

Answer 2

Answer:  Last option is correct.

Since we have given that

Dimension of central rectangle is 6 units by 7 units

So, Area of central rectangle is given by

Dimensions of upper and lower rectangle are as follows:

Length = 5 units

Breadth = 7 units

Area of upper and lower rectangle is given by

Similarly, dimensions of two triangles are as follows:

Height = 4 units

Base = 6 units

So, Area of two triangles is given by

Hence, Total surface area of the net of an isosceles prism is given by

Therefore, Last option is correct.