17. Solution
(a) T. S. A. = Area of the 2 triangles +
Area of rectangle 1 + Area of rectangle 2
+ Area of rectangle 3
= 2 (½ x 6 x 8) + (6 x 5.5) + (10 x 5.5) + (8 x 5.5)
= (2 x 24) + 33 + 55 + 44
= 48 + 33 + 55 + 44
Therefore T. S. A. = 180cm²
(b) V = Base area x height = 24 x 5.5 V = 132cm³
6cm
8cm
5.5cm
10cm
A triangular prism has a base in form of a right-angled triangle, with sides 6cm, 8cm and
10cm. If the height of the prism is 5.5cm, sketch the prism and calculate,
(a) its total surface area,
(b) its volume.
Example