Respuesta :

Answer:

11.8cm (rounded to nearest tenth)

Step-by-step explanation:

The formula of the volume of a right rectangular pyramid is:

Volume = length × width × height ÷ 3

We can just put in the values before finding the height.

1552.4 = 23.2 × 17.0 × height ÷ 3

height ÷ 3 = 1552.4 ÷ 23.2 ÷ 17.0

                 = 3[tex]\frac{923}{986}[/tex]

height = 3[tex]\frac{923}{986}[/tex] × 3

height ≈ 11.8 (rounded to nearest tenth)

height = 3.94 cm

length x width x height = volume ^3
23.2 x 17.0 x X = 1552.4 cm^3
394.4X = 1552.4

divide both sides by 394.4

X = 3.94 cm or 3.93610548
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