10. a die, in the shape of a cube, was unfolded into the following net.\ndetermine the total surface area of…

10. a die, in the shape of a cube, was unfolded into the following net.\ndetermine the total surface area of the die.\na. 100 cm²\nb. 60 cm²\nc. 150 cm²\nd. 200 cm²

10. a die, in the shape of a cube, was unfolded into the following net.\ndetermine the total surface area of the die.\na. 100 cm²\nb. 60 cm²\nc. 150 cm²\nd. 200 cm²

Answer

Explanation:

Step1: Identify side length

From the net, the side length ( s ) of the cube (die) is 5 centimeters (as per the given measurement).

Step2: Recall surface area formula for cube

The total surface area ( SA ) of a cube is given by the formula ( SA = 6s^2 ), where ( s ) is the length of a side.

Step3: Substitute values and calculate

Substitute ( s = 5 ) into the formula:
( SA = 6\times(5)^2 )
First, calculate ( 5^2 = 25 ). Then, ( 6\times25 = 150 ).

Answer:

C. ( 150\space cm^2 )