Find the surface area of the composite figure.
4 cm
13 cm
3 cm
4 cm
SA
=
12 cm
[?] cm²
5 cm
3 cm

Question

01-08-2022
Mathematics

Answered

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Find the surface area of the composite figure.
4 cm
13 cm
3 cm
4 cm
SA
=
12 cm
[?] cm²
5 cm
3 cm

Find The Surface Area Of The Composite Figure 4 Cm 13 Cm 3 Cm 4 Cm SA 12 Cm Cm 5 Cm 3 Cm class=

Sagot :

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akposevictor akposevictor · Answer 1 · 2022-08-02T12:09:24-04:00

The surface area of the composite figure is: 300 cm².

What is the Surface Area of a Triangular Prism?

Surface area of a triangular prism = (P)L + bh, where we have the following:

P = perimeter of the base

L = length of the triangular prism

h = height of the triangular base

b = base of the triangular base

What is the Surface Area of a Rectangular Prism?

Surface area = 2(wl + hl + hw), where:

h = height of prism

w = width of prism

l = length of prism.

The surface area of the composite figure = surface area of triangular prism + surface area of rectangular prism - 2(the area where both figures are joined at).

Surface area of the triangular prism = (5 + 12 + 13)4 + (5)(12)

Surface area of the triangular prism = 180 cm²

Surface area of rectangular prism = 2(wl + hl + hw) = 2·(4·12+3·12+3·4) = 192 cm²

The area where both figures are joined at = (l)(w) = (3)(12) = 36 cm².

The surface area of the composite figure = 180 + 192 - 2(36)

The surface area of the composite figure = 180 + 192 - 72

The surface area of the composite figure = 300 cm².

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Sagot :

What is the Surface Area of a Triangular Prism?

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