Volume = b*h / 3
Area of base = LM^2 = 5.2^2
To find height
tan 35° = height / ( LM/2)
tan 35° = height / 2.6
2.6 tan 35 = height
Volume = 5.2^2 * 2.6 tan (35) / 3 ≈ 16.41 units^3
Surface area = base area + area of side triangles
Base area = LM^2 = (5.2)^2 (1)
Slant height of triangle = sqrt ( 2.6^2 + ( 2.6 tan (35) )^2 ]
Area of the 4 triangles = (1/2) LM * slant height =
$ *(1/2) (5.2) sqrt ( 2.6^2 + (2.6 tan (35) )^2 ] (2)
Surface area = ( 1 ) + ( 2 ) =
5.2^2 + 4 * (1/2) (5.2) sqrt ( 2.6^2 + (2.6 tan (35) )^2 ] ≈ 60.05 units^2