1. © T Madas

2. Method Calculate the volume of this prism Total : Draw cross section B
5 cm B
4 cm
10 cm
7 cm A
6 cm
12 cm
Find cross - sectional area
10 cm
A :
6 x 12 =
72 cm2
7 cm
B :
4 x 5 =
20 cm2
Total :
92 cm2
6 cm
Calculate Volume
12 cm
6 cm
Volume :
92 x 6 =
552 cm3
© T Madas

3. Method Calculate the volume of this prism Total : Draw cross section B
Find cross - sectional area
9 m
A :
6 x 8 =
48 m2
5 m
B :
3 x 3 =
9 m2
12 m
6 m
Total :
57 m2
8 m
Calculate Volume
Volume :
57 x 12 =
684 m3
© T Madas

4. Method Calculate the volume of this prism Triangular prism
Draw cross section
6 cm
4 cm
Find cross - sectional area
4 x 6 2
= 12 cm2
6 cm
10 cm
Calculate Volume
Volume :
12 x 10 =
120 cm3
4 cm
Triangular prism
© T Madas

5. Calculate the volume of this prism
Is there another way of calculating the volume of this prism?
Volume of the cuboid
4 x 10 x 6 =
240 cm3
Volume of the prism
6 cm
10 cm
240 ÷ 2 =
120 cm3
4 cm
Triangular prism
© T Madas

6. Method Calculate the volume of this prism [ ] x 5 Trapezoidal prism
Draw cross section
4 cm
5 cm
10 cm
4 cm
Find cross - sectional area
5 cm
8 cm
[ ] x 5 2
10 + 4
= 35 cm2
10 cm
Calculate Volume
Trapezoidal prism
Volume :
35 x 8 =
280 cm3
© T Madas

7. Method Calculate the volume of this prism Total : Draw cross section AB
1 m C
1 m
Find cross - sectional area
1 m
A :
3 x 1 =
3 m2
1 m
B :
1 m
2 x 1 =
2 m2
C :
1 x 1 =
1 m2
1 m
1 m
Total :
6 m2
11 m
1 m
Calculate Volume
Volume :
6 x 11 =
66 m3
© T Madas

8. Method Calculate the volume of this prism Total : Draw cross section AB
1 m
8 m
1 m
Find cross - sectional area
A :
5 x 1 =
5 m2
5 m
1 m
B :
8 x 1 =
8 m2
C :
5 x 1 =
5 m2
12 m
Total :
6 m
18 m2
8 m
Calculate Volume
Volume :
18 x 12 =
216 m3
© T Madas

9. © T Madas