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
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