Question

A triangular prism. Rectangle A has a base of 14 meters and height of 8 meters. Rectangle B has a base of 14 meters and height of 6 meters. Rectangle C has a base of 14 meters and height of 10 meters. Triangles D and E have a base of 6 meters and height of 8 meters.
Which statements about the area of the faces of the triangular prism are true? Select all that apply.
Area of face A = 112 m2.
Area of face B = 60 m2.
Area of face C = 140 m2.
Area of face E = area of face D.
Area of face A = area of face C.

Answer 1

Answer:

Area of face A = 112 m2.

Area of face C = 140 m2

Area of face E = area of face D.

Step-by-step explanation:

Answer 2

Concept:

Triangular prism is a three-sided prism; it is a polyhedron made of two triangular base,  and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.

Given:

A triangular prism. Rectangle A has a base of 14 meters and height of 8 meters. Rectangle B has a base of 14 meters and height of 6 meters. Rectangle C has a base of 14 meters and height of 10 meters. Triangles D and E have a base of 6 meters and height of 8 meters.

Area of face A = 112 m2.

Area of face B = 60 m2.

Area of face C = 140 m2.

Area of face E = area of face D.

Area of face A = area of face C.

FIND:

Whether the options are correct or not

SOLUTION:

By looking into the figure , we can say the area of triangles must be equal

So option d is correct i.e . area of face D = area of face E

Area of face A=14x8=112m²

So option a is also correct.

Area of face B=14 x 6=84m²

So option b is wrong

Area of face C=14x10=140m²

So. option C is right

Option e is wrong.

Therefore, option a , c and  d is correct

#SPJ2