Given:
length = 6
width = 5
height = 9
Diagonal of a rectangular prism = √(l² + w² + h²)
d = √ 6² + 5² + 9²
d = √ 36 + 25 + 81
d = √ 142
d = 11.916 ROUNDED TO NEAREST WHOLE UNIT D. 12 CM.
Given:
Pyramid base = 12 cm
height = 8 cm
We can use the Pythagorean theorem to look for the slant height because it is the hypotenuse of a right triangle.
a² + b² = c²
a is the height ; b is the base ; c is the slant height.
b = 1/2 of the pyramid base.
b = 12/2 = 6 cm
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c Answer is letted D. 10 cm.
