Question

what is the surface area? 17.9 cm 17.9 cm 17.9 cm square centimeters 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 surface area \( SA \) of a cube is given by the formula \( SA = 6s^2 \).

Step2: Identify the side length of the cube.

From the diagram, the side length \( s \) of the cube is \( 17.9 \) cm.

Step3: Substitute the side length into the formula.

First, calculate \( s^2 \): \( s^2=(17.9)^2 \). Let's compute \( 17.9\times17.9 \).
\( 17.9\times17.9 = (18 - 0.1)\times(18 - 0.1)=18^2-2\times18\times0.1 + 0.1^2=324 - 3.6+0.01 = 320.41 \).

Then, multiply by 6 to get the surface area: \( SA = 6\times320.41 \).

Step4: Calculate the final result.

\( 6\times320.41 = 1922.46 \).

Answer:

\( 1922.46 \)