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torisob [31]
3 years ago
5

A triangular prism has bases that are equilateral triangles. Which statements are true about the surface area of the triangular

prism? Choose all that apply. A all three rectangular faces have the same surface area
B the surface area of each rectangular face is 66cm2
C the combined surface area of both bases is greater than the surface area of one rectangular face
D the surface area of one base is 15.6cm2

Mathematics
2 answers:
Rainbow [258]3 years ago
6 0

Answer:

A. all three rectangular faces have the same surface area

B. the surface area of each rectangular face is  66\ cm^{2}

D. the surface area of one base is 15.6\ cm^{2}

Step-by-step explanation:

<u><em>Verify each statement</em></u>

case A) all three rectangular faces have the same surface area

<em>The statement is true</em>

Because, the equilateral triangle has the three equal sides and the three equal internal angles.

case B) the surface area of each rectangular face is  66\ cm^{2}

<em>The statement is true</em>

Because, the area of each rectangular face is equal to

6(11)=66\ cm^{2}

case C) the combined surface area of both bases is greater than the surface area of one rectangular face

The statement is False

Because

The combined surface area of both bases is 2[\frac{1}{2}(6)(5.2)]=31.2\ cm^{2}

The surface area of one rectangular face is 66\ cm^{2}

therefore

31.2\ cm^{2}< 66\ cm^{2}

case D) the surface area of one base is 15.6\ cm^{2}

<em>The statement is True</em>

Because

The surface area of one base is \frac{1}{2}(6)(5.2)=15.6\ cm^{2}

Bas_tet [7]3 years ago
4 0

C.

D.

B.

C.

A.

D.

C.

C.

B.

A. B. and D.

<em />

This is the <em>whole</em> practice! 100% percent!

Have an amazing day! :):)

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