The document explains how to calculate the total surface area and lateral surface area of a rectangular prism. It provides an example of a prism with dimensions of 7cm in length, 4cm in breadth, and 10cm in height. The total surface area is calculated by finding the area of each face and adding them together. The lateral surface area is calculated as 2 times the product of the length and height plus 2 times the product of the breadth and height.

2. Total Surface Area of
Rectangular Prism

3. Each side of a rectangular prism is called a face.
A rectangular prism has six faces.

4. In a rectangular prism there are 3 pairs of opposite and equal
sides.
The first pair is the red face
7 cm (l)
4 cm (b)
10 cm (h)
10 cm (h
7 cm (l)

5. We can see another face - just like the red
face. That is on the back.
7 cm(l)
10 cm(h)
7 cm(l)
10 cm(h)

6. Now there are 2 rectangles that each have
an area of 70cm² ie lh+lh=2lh
l x h= 7 x 10= 70cm²
70 cm2
70 cm2

7. The second pair is the blue face
10 cm (h)
4 cm (b)
7 cm (l)
4 cm (b)
10 cm (h)

8. We can see another face - just like the blue
face. That is on the left side.
10 cm
(h)
4 cm (b)4 cm (b)
10 cm
(h)

9. Now there are 2 rectangles that each have
an area of 40cm² ie bh+bh=2bh
40cm²
40cm²
b x h= 4 x 10= 40cm²

10. The third pair is the green face
10 cm
(h)
4 cm
(b)
7 cm
(l)
7 cm (l)
4 cm (b)

11. We can see another face - just like the
green face. That is on the bottom.
4 cm (b)
4 cm (b)
7 cm (l) 7 cm (l)

12. Now there are 2 rectangles that each have
an area of 28cm² ie lb+lb=2lb
28cm²
28cm²
l x b= 7 x 4= 28cm²

13. Now we just need to add all the areas of the
sides together.
+ +
++
28cm2
40cm2
70cm2
70cm2
40cm2 28cm2

14. The total surface area for this rectangular
prism is
70+70+40+40+28+28=276
cm²
Ie
2lb+ 2bh+ 2lh

15. The Lateral surface area for this rectangular
prism is
L.S.A = 2lh + 2bh

16. Find the T.S.A and L.S.A of a rectangular
prism.

17. Find the T.S.A and L.S.A
of a rectangular prism
with length =9cm
breadth=6cm
height = 12cm