Consider that a b shown on the rectangular prism measures 6 cm. what is the length of the diagonal a f? a) 5 cm b) 7 cm c) 9 cm d) 10 cm

  B)  7 cm

Step-by-step explanation:

The length of diagonal AC satisfies the relation described by the Pythagorean theorem:

  AC² = AB² + BC² = (6 cm)² +(2 cm)² = 40 cm²

The length of diagonal A F also satifies the relation described by the Pythagorean theorem:

  A F² = AC² +CF² = 40 cm² + (3 cm)² = 49 cm²

Then that length can be found by taking the square root of AF²:

  A F = √(AF²) = √(49 cm²)

  A F = 7 cm