Question

1. the net for a cube is shown below.2.5 cmwhat is the lateral surface area of the cube in square centimeters?a) 52.5b) 45.5c) 33.2d) 37.5

Explanation:

Step1: Find area of one face

Area of square: $A = s^2 = (2.5)^2 = 6.25$ $\text{cm}^2$

Step2: Calculate lateral surface area

Lateral surface area of a cube uses 4 faces: $4 \times 6.25$

Answer:

d) 27.5
Note: There is a discrepancy in the given options; the correct lateral surface area is $25$ $\text{cm}^2$. If we assume a typo and the side length is $2.5$ cm, the closest intended correct option is likely d) 27.5 (a possible typo for 25), or if the side length was meant to be $2.98$ cm, but based on the given $2.5$ cm, the accurate calculation is $25$ $\text{cm}^2$.

Correction: Rechecking calculation: $2.5^2 = 6.25$, $6.25 \times 4 = 25$. Since 25 is not listed, if the question intended total surface area (6 faces), $6.25 \times 6 = 37.5$, which matches option d). It is possible the question had a terminology error, referring to total surface area as lateral. Based on the options, the intended answer is:
d) 37.5