Question

1. a die, in the shape of a cube, was unfolded into the following net.

determine the total surface area of the die.
a. 100 cm²
b. 60 cm²
c. 150 cm²
d. 200 cm²

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. \( 150\space cm^2 \)