Respuesta :
Answer:
total surface area is 432
Explanation:
Given data
base = 6
diagonals = 8
altitude = 12
to find out
total surface area
solution
we know total surface area of prism is
total surface area = lateral surface area + 2base area ..............1
so
first we calculate base perimeter i.e = 2 length + 2 width
so perimeter = 2(8) + 2(6) = 25
and area = length * width = 8*6 = 48
so lateral surface area is perimeter * height i.e
lateral surface area = 28* 12
lateral surface area = 336
put this value in equation 1 we get
total surface area = lateral surface area + 2base area
total surface area = 336 + 2(48)
total surface area is 432
Answer:
[tex]A_{total} = 288 unit^2[/tex]
Explanation:
Base of the right prism is a rhombus
So the base area of the prism is given as
[tex]A = \frac{1}{2}d_1 d_2[/tex]
here we know that
[tex]d_1 = 6[/tex]
[tex]d_2 = 8[/tex]
[tex]A = \frac{1}{2}(6)(8)[/tex]
[tex]A = 24[/tex]
Area of its vertical side is given as
[tex]A' = Length \times height[/tex]
[tex]A' = 5(12) = 60 [/tex]
now total surface area is given
[tex]A_{total} = 2A + 4A'[/tex]
[tex]A_{total} = 2(24) + 4(60)[/tex]
[tex]A_{total} = 288 unit^2[/tex]
