7 the net of a rectangular prism and its dimensions in inches are shown. \nwhich of the following is not a…

7 the net of a rectangular prism and its dimensions in inches are shown. \nwhich of the following is not a true statement about the figure?\na. when assembled, the net takes the shape of a cube.\nb. all six faces are congruent.\nc. the total surface area is 64 square centimeters.\nd. the total surface area is 96 square centimeters.

7 the net of a rectangular prism and its dimensions in inches are shown. \nwhich of the following is not a true statement about the figure?\na. when assembled, the net takes the shape of a cube.\nb. all six faces are congruent.\nc. the total surface area is 64 square centimeters.\nd. the total surface area is 96 square centimeters.

Answer

Explanation:

Step1: Analyze Option A

A cube is a rectangular prism with all edges equal. The net has squares with side 4 cm, so when assembled, it's a cube (since all faces are squares with side 4 cm). So A is true.

Step2: Analyze Option B

Each face is a square with side 4 cm, so all six faces are congruent. B is true.

Step3: Analyze Option C and D (Surface Area)

The surface area of a cube is given by ( SA = 6s^2 ), where ( s = 4 ) cm.
Substitute ( s = 4 ):
( SA = 6\times(4)^2 = 6\times16 = 96 ) square centimeters.
So the surface area is 96, not 64. Thus, C is false and D is true.

Answer:

C. The total surface area is 64 square centimeters.