Volume and Surface Area of Prisms. Volume = Area of cross-section x Length.
Volume of cuboid = Length x Width x
Height
Cuboid A
4cm
Volume=4x6x2=48cm3
2cm
6cm
Surface Area
front and back
6x4x2=48cm 2
Cylinder A
top and bottom
sides
2x4x2=
24cm2
= 88cm2
Volume of cylinder = Area of Circle x
Length
2cm
Area of Circle=π x 2^2=12.6cm2
6cm
Surface Area
Top and bottom
SA = 48+16+24
Curve Surface
d Surface
Circumference X Length
=(2 x π x 2) x 6=75.4cm2
25.2 + 75.4=100.6cm2
2 x Area of Circle=2 x π x 2^2=25.2cm2
Triangular Prism A
13cm
Volume of triangular prism = Area of
triangle x Length
Area of Triangle = 1/2 x 12 x5=30 cm2
5cm
12cm
Surface Area
Front and Back
1/2 x5 x 12 x 2=60 cm 2
10cm
Volume= 30 x 10=300cm2
Sloping edge
13 x 10=130cm2
12 x
10=120cm2
Left side
10x5 =
50cm2
SA =
60+130+120+
50 = 360cm2
Volume and Surface Area: Continued
Volume of cuboid = Length x Width x
Height
Cuboid B
7cm
Volume=7x8x5=280cm3
5cm
8cm
Surface Area
8x7x2=112cm2
Cylinder B
top and bottom
sides
front and back
5x7x2=
5cm
80cm2
SA = 112+70+24
= 262
Volume of cylinder = Area of Circle x
Length
Area of Circle=π x 5^2=78.5cm2
8cm
Volume=78.5 x 8=628cm3
Surface Area
Top and bottom
Curve Surface
SA =
Circumference X Length
=(2 x π x5) x 8=251.3cm2
157.1 +
2 x Area of Circle=2 x π x 5^2=157.1cm2
Triangular Prism B
10cm
Volume of triangular prism = Area of
triangle x Length
Area of Triangle = 1/2 x 6 x8=24 cm2
5cm
8cm
12cm
Surface Area
Front and Back
1/2 x 12 x 8 x 2=96 cm 2
Volume= 24x 12=288cm2
Sloping edge
12 x 10=120cm2
12 x
8=96cm2
Left side
10x6 =
60cm2
SA =
96+120+96+
60 = 372cm2