Question

What is the length of the diagonal for the given rectangular prism to the nearest whole unit?

the unit is the length=6, width=5, height=9
A. 8 cm
B.10 cm
C.11 cm
D.12 cm
1.what is the slant height for the given pyramid to the nearest whole unit.
pyramid base= 12 cm
height=8 cm
A.5 cm
B.9 cm
C.14 cm
D.10 cm

Answer 1

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.