the base face of a prism is a regular hexagon. the height of the prism is 25 cm and the total area of the triangles serving as the lateral faces is 3000 cm^2. f
Matematika
Angela827
Pertanyaan
the base face of a prism is a regular hexagon. the height of the prism is 25 cm and the total area of the triangles serving as the lateral faces is 3000 cm^2. find:
a. the length of each of the base edge
b. the volume of the prism
a. the length of each of the base edge
b. the volume of the prism
1 Jawaban
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1. Jawaban Muazz
a.
luas = k x t
3000 = k x 25
3000/25 = k
120 = k
sisi segi 6
the length of each of the base edge= 120 : 6
= 20
b. La = s² x 3/2 √3
= 20² x 3/2 √3
= 400 x 3/2 √3
= 200 x 3√3
= 600√3
volume = La x t
= 600√3 x 25
= 15.000 cm³