Total surface area of rectangular prism
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This document explains how to calculate the total surface area of a rectangular prism. It describes a rectangular prism with dimensions of 7 cm by 4 cm by 10 cm. It identifies that a rectangular prism has 6 faces that come in 3 pairs of opposite and equal sides. It calculates the area of each face by multiplying the corresponding lengths and sums the areas of all 6 faces to get the total surface area, which is 276 cm^2.
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Total surface area of rectangular prism
- 2. Shefsyn. K. Y. Reg: No: 13 386 006 B: Ed: (Mathematics) St. Thomas Training College
- 3. Total Surface Area of Rectangular Prism
- 4. Each side of a rectangular prism is called a face. A rectangular prism has six faces.
- 5. 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)
- 6. 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)
- 7. 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
- 8. The second pair is the blue face 10 cm (h) 4 cm (b) 7 cm (l) 4 cm (b) 10 cm (h)
- 9. 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)
- 10. 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
- 11. The third pair is the green face 10 cm (h) 4 cm (b) 7 cm (l) 7 cm (l) 4 cm (b)
- 12. 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)
- 13. 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
- 14. Now we just need to add all the areas of the sides together. + + ++ 28cm2 40cm2 70cm2 70cm2 40cm2 28cm2
- 15. The total surface area for this rectangular prism is 70+70+40+40+28+28=276 cm² Ie 2lb+ 2bh+ 2lh=2(lb+bh+lh)