Question

aliyah is repainting a toy robot made out of two wooden cubes. she wrote the expression 6(15·15)+6(9·9)−2(9·9) for the surface area of the toy. in the expression aliyah wrote, what does the term 6(15·15) represent? the total surface area of the toy the area of the overlap of the cubes the surface area of the bottom cube the surface area of the top cube

Explanation:

The formula for the surface area of a cube is \( 6s^2 \), where \( s \) is the side length of the cube. Here, the bottom cube has a side length of 15 cm. The term \( 6(15 \cdot 15) \) is equivalent to \( 6\times15^2 \), which matches the surface area formula for a cube with side length 15 cm. The other options can be eliminated: the total surface area of the toy is the entire expression, the overlap area is \( 2(9 \cdot 9) \), and the top cube has a side length of 9 cm (so its surface area - related term would involve 9, not 15).

Answer:

C. The surface area of the bottom cube