Volume Of Prisms And Cylinders

Question 1

How do you work out the volume of prisms?

Answer 1

Area of cross section
_______________________
Depth

Question 2

How do you calculate the area of a cross section?

Answer 2

(Base X height)
_________________
2

Question 3

If the base of a prism is 9cm, its height is 3cm and it’s depth is 6cm, what is the volume of the prism?

Answer 3

Volume of prism = (9X3)
______
2
= 13.5cm

Volume of prism = 13.5 X 6 = 81
= 81cm3

Question 4

If the base of a prism is 12cm, the height is 8cm and the depth is 4cm, what is the volume of the prism?

Answer 4

Volume of prism = (12 X 8)
________
2
= 48cm

Volume of prism = 48 X 4 = 192
=192cm3

Question 5

What is the volume of a prism measured as?

Answer 5

Unit of measure 3 (cubed)

E.g. Cm3 (cubed)

Question 6

If the depth of a prism is 7mm, the base is 11mm and the height is 6mm, what is its volume?

Answer 6

Volume of prism = (11 X 6)
________
2
= 33mm

Volume of prism = 33 X 7 = 231
=231mm3

Question 7

Calculate the volume of a prism when the base of the prism is 4mm, its height is 8.5mm and the depth is 2mm? Convert your answer to cm

Answer 7

Volume of prism = (4X8.5)
________
2
= 17mm

Volume of prism = 17 X 2 = 34
= 34mm3
= 3.4cm3

Question 8

If the volume of a rectangular prism = 125cm3 and it’s base, height and depth all equal Xcm, how many cm are the base, height and depth?

Answer 8

Volume = 125cm3
125 % 5 = 25
25 % 5 = 5

5 X 5 X 5 = 125cm3

Base = 5cm
Height = 5cm
Depth = 5cm

Question 9

If the volume of a triangular = 144cm3
The base = 12cm
The height = 8cm
What is the length or depth of the triangular prism?

Answer 9

Volume =    144
                  \_\_\_\_\_\_\_\_\_
                   (8 X 12)
= 8 X 12     = 48
   \_\_\_\_\_\_\_\_
        2
= 144     = 3cm
   \_\_\_\_\_
     48

Question 10

How do you calculate the volume of a cylinder?

Answer 10

Pie X raduis2 X height

E.g. Radius = 3cm (Squared)
Height = 10cm

Pie X 9 X 10 = 90pie or the 282.7cm3

Question 11

What is the volume of a cylinder when the radius is 6cm and the height is 2cm?

Answer 11

Volume of a cylinder =
Pie X 6squared X 2

= 226.2cm3

Question 12

Find the height of a cylinder when the volume = 56.5m3 and the diameter = 6

Answer 12

H= 56.5 =56.5=2.0m
________ ______
PieX32 28.3

Question 13

Find the radius of a cylinder when the volume = 2.44m3 and the height = 1.5m

Answer 13

Radius = 2.44 = 0.72m
_________
PieX1.5