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This net consists of a square and 4 identical triangles. What is the surface area of the solid this net can form?


144 square inches
184 square inches
224 square inches
264 square inches

This net consists of a square and 4 identical triangles What is the surface area of the solid this net can form 144 square inches 184 square inches 224 square i class=

Respuesta :

Answer:

3) 224 square inches

Step-by-step explanation:

SA is equal to area of 4 triangles + square. So:

Triangles:

4*1/2*B*h

4*1/2*8*10

2*80

160

Square:

8*8

64

Add them together to get 224 square inches

Answer: C, 224 inches squared

Step-by-step explanation:

When formed into a solid, the triangles are folded upwards to make a pyramid. You can find the surface area by finding the areas of the individual shapes.

There are four triangles with a height of 10 inches and a base of 8 inches.

There is one square with a side length of 8 inches.

Triangle area formula : A = (b * h) / 2

Square area formula: A = s^2

(10 * 8) / 2 = 40

8 ^ 2 = 64

There are four triangles with area of 40 and one square with area of 64.

40 + 40 + 40 + 40 + 64 = 224 inches squared. The correct answer choice is C.

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