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.

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

Step-by-step 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

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

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step-by-step explanation: