A prism has an isosceles triangle bases with leg lengths of 5 inches 5 in and 8 inches and a height of 3 in the distance between the bases is 12 in find the surface area show your work

240 Square Inches

Step-by-step explanation:

See the attached diagram

The Isosceles Triangle based prism consists of two triangles of equal area, to rectangles of equal area and the rectangle at the base.

Therefore:

Surface Area of the Prism =Surface Area of Two Triangular Base+Area of three Rectangles

Area of one Triangular Base=0.5 X 8 x 3 =12 Square inches

Area of Rectangle 1=5 x 12 =60 Square Inch

Area of Rectangle 2=5 x 12 =60 Square Inch

Area of Rectangle 3=8 x 12 =96 Square Inch

Therefore:

Surface Area of the Prism=2(12)+2(60)+96

=240 Square Inches

the answer is true.

step-by-step explanation: