Question

to use flat cut outs to form cube cuboids pyramids and cone and to obtain formula for volume and total surface area

Answer 1

First we have to know dimensions of the each 3-D figure.
i) cube:
Measure the edge of the cube.
Let edge = a units
1) Total surface area=(TSA)=6a^2 square units
2) volume =(V)=a^3 cubic units
ii) find dimensions of the cubiod
Let length= l units
breadth= b units
Height= h units
1) TSA=2(lb+bh+lh)sq units
2) volume=lbh cubic units
iii)measure the slant height =l units
Height =h units
Base perimeter = p units
Of the pyramid
1)TSA= pl/2 +2×area of the polygon
2) volume=1/3×(base area)×altitude
iv) cone
Find the dimensions of the cone
Radius = r units
Slant height= l units
Height =h units
1)TSA=curved surface area+base area
=pi×rl+ pi×r^2
=pi×r(l+r) sq units
Where l= sqrt(h^2+r^2)
2) volume=1/3×(base area)×(altitude)
=1/3×pi×r^2×h cubic units

Answer 2

Answer:

Step-by-step explanation:

First we have to know dimensions of the each 3-D figure.

i) cube:

Measure the edge of the cube.

Let edge = a units

1) Total surface area=(TSA)=6a^2 square units

2) volume =(V)=a^3 cubic units

ii) find dimensions of the cubiod

Let length= l units

breadth= b units

Height= h units

1) TSA=2(lb+bh+lh)sq units

2) volume=lbh cubic units

iii)measure the slant height =l units

Height =h units

Base perimeter = p units

Of the pyramid

1)TSA= pl/2 +2×area of the polygon

2) volume=1/3×(base area)×altitude

iv) cone

Find the dimensions of the cone

Radius = r units

Slant height= l units

Height =h units

1)TSA=curved surface area+base area

=pi×rl+ pi×r^2

=pi×r(l+r) sq units

Where l= sqrt(h^2+r^2)

2) volume=1/3×(base area)×(altitude)

=1/3×pi×r^2×h cubic units