Look at the net below.
- 4.5 in.
6
in.
4
in.
5 in.
What is the lateral surface area, in square
inches, of the figure formed by the net?
® 24 in2
® 47 in.2
© 71 in 2
©
94 in.2

Explanation:

The base area formed by the rectangle of area 6*4 = 24. We will ignore this since we only want the lateral or side surface area

The lateral surface area is composed of all of the triangle areas.

The top and bottom triangles have a base of 6 and height of 4.5, so one triangle has area A = 0.5*b*h = 0.5*6*4.5 = 13.5; two such triangles has area of 2*13.5 = 27 square inches.

The left and right triangles have base of 4 and height of 5, so A = 0.5*b*h = 0.5*4*5 = 10, making 2 of these triangles have a combined area of 2*10 = 20 square inches.

Overall, 27+20 = 47 square inches is the total lateral surface area as it is the total area of all four triangles.

Side note: The figure folds up to form a rectangular pyramid

7

step-by-step explanation:

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