The diagram shows a cuboid.
Calculate the volume of the cuboid.
............................................... cm3
Did this page help you?
Select a question set to download for
Volume & Surface Area
Select an answer set to view for
Volume & Surface Area
The diagram shows a cuboid.
Calculate the volume of the cuboid.
............................................... cm3
How did you do?
Did this page help you?
A cuboid measures 5cm by 7cm by 9.5cm.
Work out the surface area of this cuboid.
............................................. cm2
How did you do?
Did this page help you?
Calculate the total surface area of the cuboid.
..............................................cm2
How did you do?
Did this page help you?
Here is a cuboid.
The cuboid is 6 cm by 1.5 cm by 1.5 cm.
Work out the total surface area of the cuboid.
How did you do?
Did this page help you?
The diagram shows a cuboid.
Calculate the volume of the cuboid.
How did you do?
Did this page help you?
A solid metal cuboid has a volume of 600cm3.
The base of the cuboid is 10 cm by 12 cm.
Calculate the height of the cuboid.
.......................................... cm
How did you do?
The solid metal cuboid is melted and made into 1120 spheres, each with radius 0.45cm.
Find the volume of metal not used in making these spheres.
......................................... cm3
How did you do?
Did this page help you?
Water flows at a speed of 20 cm/s along a rectangular channel into a lake.
The width of the channel is 15 cm.
The depth of the water is 2.5 cm.
Calculate the amount of water that flows from the channel into the lake in 1 hour.
Give your answer in litres.
........................................ litres
How did you do?
Did this page help you?
Water from Manjeet’s shower flows at a rate of 12 litres per minute.
The water from the shower flows into a tank that is a cuboid of length 90 cm and width 75 cm.
Calculate the increase in the level of water in the tank when the shower is used for 7 minutes.
............................................ cm
How did you do?
Did this page help you?
............................................... m2 [2]
$ ................................................... [2]
How did you do?
Did this page help you?
The lake behind a dam has an area of 55 hectares.
When the gates in the dam are open, water flows out at a rate of 75 000 litres per second.
[1]
.......................................... cm [3]
How did you do?
Did this page help you?
Water flows through a cylindrical pipe at a speed of 8 cm/s.
The radius of the circular cross-section is 1.5 cm and the pipe is always completely full of water.
Calculate the amount of water that flows through the pipe in 1 hour.
Give your answer in litres.
....................................... litres
How did you do?
Did this page help you?
The cross-section of a prism is an equilateral triangle of side 6cm.
The length of the prism is 20 cm.
Calculate the total surface area of the prism.
......................................... cm2
How did you do?
Did this page help you?
A pipe is completely full of water.
Water flows through the pipe at a speed of 1.2 m/s into a tank.
The cross-section of the pipe has an area of 6 cm2.
Calculate the number of litres of water flowing into the tank in 1 hour.
.......................................... litres
How did you do?
Did this page help you?
A cone with height 14.8 cm has volume 275 cm3.
Calculate the radius of the cone.
[The volume, , of a cone with radius and height is .]
............................................... cm
How did you do?
Did this page help you?
A pipe is full of water.
The cross-section of the pipe is a circle, radius 2.6 cm.
Water flows through the pipe into a tank at a speed of 12 centimetres per second.
Calculate the number of litres that flow into the tank in one hour.
............................................ litres
How did you do?
Did this page help you?
The diagram shows a sector of a circle with centre , radius 8 cm and sector angle 165°.
The surface area of a sphere is the same as the area of the sector.
Calculate the radius of the sphere.
[The surface area, , of a sphere with radius is ]
............................................ cm
How did you do?
A cone is made from the sector by joining to .
How did you do?
Did this page help you?
Show that the volume of a metal sphere of radius 15 cm is 14 140 cm3, correct to 4 significant figures.
[The volume, , of a sphere with radius is .]
How did you do?
How did you do?
Did this page help you?
A solid metal sphere with radius 6 cm is melted down and all of the metal is used to make a solid cone with radius 8 cm and height cm.
[2]
.............................................. cm [2]
............................................. cm2 [1]
How did you do?
Did this page help you?
The diagram shows a prism ABCDEF.
The cross-section is a right-angled triangle BCD.
BD = 10 cm, BC = 5.2 cm and ED = 18 cm.
Work out the volume of the prism.
............................................. cm3
How did you do?
Did this page help you?
The diagram shows a solid metal prism.
The volume of the prism is 2187 cm3.
The larger prism is melted down into a sphere.
Calculate the radius of the sphere.
[The volume, , of a sphere with radius is .]
.............................................. cm
How did you do?
Did this page help you?
The diagram shows the surface of a garden pond, made from a rectangle and two semicircles.
The rectangle measures 3 m by 1.2 m.
Calculate the area of this surface.
...............................................m2
How did you do?
The pond is a prism and the water in the pond has a depth of 20 cm.
Calculate the number of litres of water in the pond.
........................................... litres
How did you do?
After a rainfall, the number of litres of water in the pond is 1007.
Calculate the increase in the depth of water in the pond.
Give your answer in centimetres.
.............................................. cm
How did you do?
Did this page help you?
A sphere has radius cm. The volume of the sphere is 1000 cm3.
Calculate the value of .
[The volume, , of a sphere with radius is .]
..........................................................
How did you do?
The diagram shows a prism with a right-angled triangle as its cross-section. The volume of the prism is 1000 cm3.
Calculate the value of .
...................................................
How did you do?
Did this page help you?
A gold model is made.
This model is a prism with a cross-section of area 77.44 cm2.
This gold model is 15 mm thick.
One cubic centimetre of gold has a mass of 19 grams.
Calculate the mass of the gold model in kilograms.
.............................................. kg
How did you do?
Did this page help you?
The diagram shows a prism with length 18 cm and volume 253.8 cm3.
The cross-section of the prism is a right-angled triangle with base 6 cm and height cm.
Show that the value of is 4.7 .
How did you do?
Calculate the total surface area of the prism.
........................................ cm2
How did you do?
Did this page help you?
The diagram shows a solid cone.
The radius is 8 cm and the slant height is 17 cm.
........................................... cm2 [2]
........................................... cm3 [4]
How did you do?
............................................... g [1]
............................................... g [1]
How did you do?
Did this page help you?
A solid hemisphere has volume 230 cm3.
Calculate the radius of the hemisphere.
[The volume, , of a sphere with radius is .]
.......................................... cm
How did you do?
A solid cylinder with radius 1.6 cm is attached to the hemisphere to make a toy.
The total volume of the toy is 300 cm3.
Calculate the height of the cylinder.
.......................................... cm
How did you do?
Did this page help you?
The diagram shows a prism with a rectangular base, ABFE.
The cross-section, ABCD, is a trapezium with AD = BC.
AB = 8 cm, GH = 5 cm, BF = 12 cm and angle ABC = 70°.
Calculate the total surface area of the prism.
.......................................... cm2
How did you do?
Did this page help you?
A cylinder with radius 6 cm and height cm has the same volume as a sphere with radius 4.5 cm.
Find the value of .
[The volume, , of a sphere with radius is .]
................................................
How did you do?
A solid metal cube of side 20 cm is melted down and made into 40 solid spheres, each of radius cm.
Find the value of .
[The volume, , of a sphere with radius is .]
................................................
How did you do?
Did this page help you?
A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the total surface area of the cone.
[The curved surface area, , of a cone with radius and slant height is .]
.......................................... cm2
How did you do?
Calculate the volume of the cone.
[The volume, , of a cone with radius and height is