To use flat cutouts to form cubes, cuboids, and circles to obtain
formulae volume and total surface area. The cutouts will be
pasted on the left side and formulae on the right side of the copy.
guys plz help
Answers
Answer:
Flat Cutouts is a way of making a 3 – d figure represent in 3 – d by cutting different shapes it is made of.
(i) Cube
Each Cube consists of 6 squares with equal sides
The figure above shows the flat cutouts of Cube.
Now Total Surface Area = Area of 6 squares = 6 a2
Where a = side of square.
For Volume, we will multiply the Area with the height of the surface = a2 × a = a3
(ii) Cuboid
Each Cuboid Consists of 6 rectangles having 3 dimensions namely length, breadth and height.
Now Total Surface Area of Cuboid = Area of all rectangles above = 2 lb + 2 bh + 2 hl
Total Surface Area = 2(lb + bh + hl)
Where, l = length, b = breadth and h = height
And Volume = Area of Rectangle × height
Volume = (l b) × h
The volume of Cuboid = lbh
(iii) Pyramid
Total Surface Area = Area of Four Triangles + Area of Square
Total Surface Area = 1/2 h a + 4 a
(where h = height of Pyramid and a = side of base)
Volume of Pyramid = Area of Base × 1/3 height
Volume of Pyramid = 1/3 a2 h
(iv) Cone
The figure above shows the cutout of Cone
Total Surface Area of Cone = Lateral Surface Area of Cone + Area of Base
Total Surface Area of Cone = π r l + π r2
Where l = slant height of cone and r is the radius of the base
Total Volume of Cone = 1/3 π r2 h
Where h = height of the cone.
Step-by-step explanation:
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