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Which statements are true about the solid, which has a length

of 6 inches, a width of 3 inches, and a height of 2 inches?
Check all that apply.
The perimeter of one of its faces is 8 inches.
The perimeter of one of its faces is 10 inches.
The area of one of its faces is 6 inches.
The area of one of its faces is 12 in.2.
The volume of the solid is 36 in.3.

User Visizky
by
5.2k points

1 Answer

3 votes

Answer:

The statements that apply are as follows

a). The area of one of its faces is 6 in²

b). The area of one of its faces is 12 in²

c). The volume of the solid is 36 in³

Explanation:

a).

Determine the perimeter of all its faces as shown;

Front and back face dimensions (F1)=6 by 2 inches,

F1 Perimeter=2(6+2)=16 inches

Left and right side face dimensions (F2)=3 by 2 inches

F2 perimeter=2(3+2)=10 inches

Top and bottom face dimensions (F3)=6 by 3 inches

F3 perimeter=2(6+3)=18 inches

b).

Determine the area of all its faces as shown;

F1 dimensions=6 by 2 inches

F 1 area=(6×2)=12 inches²

F2 dimensions=3 by 2 inches

F2 area=(3×2)=6 inches²

F3 dimensions=6 by 3 inches

F3 area=(6×3)=18 inches²

c). Determine the volume of the solid as follows;

Volume=length×width×height

Volume=6×3×2=36 inches³

User Avedis
by
5.5k points
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