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




24 square units


48 square units


72 square units


96 square units


144 square units

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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.

  • 24 square units
  • 48 square units
  • 72 square units
  • 96 square units
  • 144 square units

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

For one Triangular face

  • Height=6 Units
  • Base =8 Units

Area of the Triangular Face =0.5 X 6 X 8=24 Square units

Area of the rectangular Faces

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

Therefore, from the options, the possible areas are:

(A)24 square units

(C)72 square units

(D)96 square units