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6.2 cm
5 cm
5 cm
5 cm
4.3 cm

Need surface area

6.2 cm 5 cm 5 cm 5 cm 4.3 cm Need surface area-example-1
User Giogix
by
7.8k points

1 Answer

1 vote

Answer:

57.25 cm²

Explanation:

You want the surface area of a triangular pyramid with base sides 5 cm and slant height 6.2 cm. The height of the base triangle is given as 4.3 cm.

Surface area

The surface area of the figure is the sum of the areas of the four triangles that make it up. Three of those are congruent.

Triangle area

The formula for the area of a triangle is ...

A = 1/2bh . . . . . . base b, height h

For all of the triangles in the figure, the base length is 5 cm. The total area is ...

total area = lateral area + base area

total area = 3(1/2·(5 cm)(6.2 cm)) + 1/2(5 cm)(4.3 cm)

total area = (5/2 cm)(3·6.2 +4.3) cm = 57.25 cm²

The surface area of the pyramid is 57.25 cm².

6.2 cm 5 cm 5 cm 5 cm 4.3 cm Need surface area-example-1
User Scubbo
by
8.8k points

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