Question

what is the surface area? 18.3 in 18.3 in 18.3 in square inches submit

Explanation:

Step1: Recall the formula for the surface area of a cube.

A cube has 6 faces, and each face is a square with side length \( s \). The area of one square face is \( s^2 \), so the surface area \( SA \) of a cube is \( SA = 6s^2 \).

Step2: Identify the side length of the cube.

From the diagram, the side length \( s \) of the cube is \( 18.3 \) inches.

Step3: Substitute the side length into the formula.

First, calculate \( s^2 \): \( s^2=(18.3)^2 \). Let's compute \( 18.3\times18.3 \). \( 18\times18 = 324 \), \( 18\times0.3 = 5.4 \), \( 0.3\times18 = 5.4 \), \( 0.3\times0.3 = 0.09 \). So, \( (18 + 0.3)^2=18^2 + 2\times18\times0.3+0.3^2 = 324+10.8 + 0.09=334.89 \). Then, multiply by 6 to get the surface area: \( SA = 6\times334.89 \).

Step4: Calculate the final result.

\( 6\times334.89 = 2009.34 \).

Answer:

\( 2009.34 \)