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Which could be the area of one face of the triangular prism? Select three options.

User Btubbs
by
3.6k points

2 Answers

3 votes

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.

Triangular height is 6

Triangular base is 8

A=1/2*8*6

Therefore, the areas are ;24 square units,72 square units and 96 square units

User Tehp
by
3.8k points
5 votes

Answer:

The correct options are , Option 1st, 3rd and 4th.

24 square units

72 square units

96 square units

Explanation:

CHECK THE ATTACHMENT FOR THE COMPLETE QUESTION

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.

[Not drawn to scale]

24 square units

48 square units

72 square units

96 square units

144 square units

EXPLANATIONS

Solving for RECTANGULAR part

Area of rectangles = Length x width.


A=LW

Area of the face of 12 x 10 dimension= 120 square units

Area of face of the 12 x 8 dimensions = 96 square units

Area of face of the 12 x 6 dimension = 72 square units

Solving for the TRIANGULAR part

Area of triangles = 1/2 x base x height.


A=1/2bh

Triangular height is 6

Triangular base is 8

A=1/2*8*6


A=24square units

Therefore, the areas are ;24 square units,72 square units and 96 square units

User Robert Hijmans
by
4.3k points