Question

Help please!! Will mark as brainlist only with an explanation

Answer 1

Answer:

F: 48

Step-by-step explanation:

Let x be the length of the side of the cube. RQ can be expressed as a triangle consisting of a diagonal of a face of the cube and the side length x. By the pythagorean theorem, we know that a^2+b^2=c^2. So, we can express the diagonal as x^2+x^2=c^2, giving us the value of c to be $x\sqrt{2}$. Now, we can once again use the pythagorean theorem to find RQ^2=2x^2+x^2=3x^2, so RQ=$x\sqrt{3}$=12, so x=$4\sqrt{3}$. To find the area of the shaded part, we multiply the length times width which gives us $(4\sqrt{3})^2=48$. So, the area of the shaded face of the cube is F: 48.