Answer: 1704 square inches
Explanation:
The surface area of a square pyramid is given by the formula:
Surface Area = base area + 4 × (1/2 × slant height × base length)
The base area of the pyramid is:
base area = length × width = 24 in × 24 in = 576 in²
The slant height of the pyramid can be found using the Pythagorean theorem:
slant height = sqrt(20² + 12²) = 236/5 in
Therefore, the surface area of the whole pyramid is:
Surface Area = 576 in² + 4 × (1/2 × 236/5 in × 24 in) = 1152 in² + 2256 in² = 3408 in²
Half of this area is black, so the area that is yellow is:
Yellow Area = 1/2 × 3408 in² = 1704 in²
Therefore, the surface area of the toy that is yellow is 1704 square inches.