Volume of 3D shapes - advanced
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Volume of 3D shapes - advanced
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1) Find the volume of the cube
[1]
6 cm 6 cm 6 cm
2) A cuboid has a length, width and height of 4 cm, 5 cm and 9 cm, respectively. Find the volume of the cuboid.
[1] 3) Find the width of a cuboid, given that it has a length of 7 cm, height of 10 cm and volume of 490 cm 3
[1]
4) Find its length, given that the volume of a cube is 343 cm 3
[1]
Copyright 2014. Licensed by Your School with permission to redistribute
5) Find the volume of the triangular prism
[1]
5 cm
12 cm
4 cm
6) Find the volume of the trapezoidal prism
[1]
4 cm 5 cm
7 cm
10 cm
7) Find the volume of the square-based pyramid, rounding your answer to 3 significant figures
[1]
4 cm 5 cm
5 cm
Copyright 2014. Licensed by Your School with permission to redistribute
8) Find the volume of the tetrahedron, rounding your answer to 3 significant figures
[1]
8 cm
10 cm
10 cm
9) Find the volume of the cone, rounding your answer to 3 significant figures
[1]
8 cm 3 cm
Copyright 2014. Licensed by Your School with permission to redistribute
10) Find the volume of the sphere, rounding your answer to 3 significant figures
[1]
6 cm
11) A hemisphere has a radius of 2 cm. Find its volume, rounding your answer to 3 significant figures. [1]
12) The solid shown below is a cuboid with a square-based pyramid on top.
[1]
The pyramid has a vertical height of 4 cm.
Find the volume of the solid, giving your answer to one decimal place where necessary.
4 cm
7 cm 9 cm
9 cm
Copyright 2014. Licensed by Your School with permission to redistribute
Solutions for the assessment Volume of 3D shapes - advanced
1) Volume = 216 cm 3
2) Volume = 180 cm 3
3) width = 7 cm
4) Length = 7 cm
5) Volume = 120 cm 3
6) Volume = 275 cm 3
7) Volume = 33.3 cm 3
8) Volume = 115 cm 3
9) Volume = 75.4 cm 3
10) Volume = 905 cm 3
11) Volume = 16.8 cm 3
12) Volume = 675 cm 3
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