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24 June, 00:10

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

+5
Answers (1)
  1. 24 June, 00:28
    -1
    Length of the diagonal : D. 12 cm

    The space diagonal of a rectangular prism is derived using the following formula:

    d = √ (l² + w² + h²)

    l = 6; w = 5; h = 9

    d = √6² + 5² + 9²

    d = √36 + 25 + 81

    d = √142

    d = 11.916 ⇒ 12 cm

    slant height of the given pyramid:

    l = slant height

    h = height

    a = base radius

    l = √h² + a²

    i'm assuming that the pyramid base is also the base radius

    l = √8² + 12²

    l = √64 + 144

    l = √208

    I = 14.42 ⇒ 14cm

    in the event that the pyramid base is not the radius, then 12/2; 6cm

    l = √8² + 6²

    l = √64 + 36

    l = √100

    l = 10 cm
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