A prism has a square base whose side is 8 cm. The height of prism is 80 cm. The prism is cut into 10 identical parts by 9 cuts which are parallel to base of prism. What is the total surface area (in cm2) of all the 10 parts together?
Answers
Answer:
If the side-edges of a prism are perpendicular to its ends (or to base), it is called a right prism ; otherwise, a prism is said to be oblique.
For a right prism the side faces are all rectangles and each side-edge is equal its height.
The adjoining represents a right prism.
If h be the height (i.e., the perpendicular distance between the parallel end faces) and the lengths of the sides of the base polygon be a, b, c, d, . . . , then
(i) area of the side faces (i.e., lateral surfaces) of a right prism
= ah + bh + ch + ........
= (a + b + c + ....... ) ∙ h
= perimeter of the base × height;
(ii) area of total surfaces of a right prism
= area of its side faces + 2 × area of its base
(iii) volume of a right prism = ( area of base ) × (height).