The diagram shows a right-angled triangular prism ABCDEF.

Length AD = 11 cm, length CD = 10 cm and length CF = 6 cm.
Calculate the exact length of AF.
..................................................... cm
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The diagram shows a right-angled triangular prism ABCDEF.
Length AD = 11 cm, length CD = 10 cm and length CF = 6 cm.
Calculate the exact length of AF.
..................................................... cm
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is a horizontal rectangular field.
A vertical pole, , is placed at the corner A of the field.
Calculate the size of the angle between and the plane
Give your answer correct to one decimal place.
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The diagram shows a cuboid .
and
Work out the size of the angle between and the plane
.
Give your answer correct to 3 significant figures.
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The diagram shows cuboid
For this cuboid
the length of : the length of
: the length of
= 4 : 2 : 3
Calculate the size of the angle between and the plane
.
Give your answer correct to one decimal place.
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The diagram shows a triangular prism.
and
.
Angle = angle
= angle
Work out the size of the angle between the line and the plane
.
Give your answer correct to 1 decimal place.
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Here is a cube with edge length cm
One diagonal is shown.
Circle the length, in centimetres, of the diagonal.
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The length of a diagonal of a cuboid is 20 cm
The diagonal makes an angle of 24° with the base.
The area of the base is 150 cm2
Work out the volume of the cuboid.
...................................... cm3
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The diagram shows a cuboid .
The angle between the line and the base
of the cuboid is
.
Calculate .
........................................... cm
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ABCDEFGH is a cuboid.
AB = 8 cm, BC = 5 cm and CG = 11 cm.
i) Calculate angle CAB.
Angle CAB = ................................................ [2]
ii) Calculate angle GAC.
Angle GAC = ................................................ [2]
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The diagram shows a cuboid.
= 8 cm,
= 4 cm and
= 5 cm.
Calculate the angle between the diagonal and the plane
.
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is a cuboid.
Find the size of the angle between and the plane
.
Give your answer correct to decimal place.
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The diagram shows a cuboid .
Calculate the volume of the cuboid.
Give your answer correct to significant figures.
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The diagram shows a pyramid.
is a square with sides of length 10 cm.
The other faces of the pyramid are equilateral triangles with sides of length 10 cm.
Calculate the volume of the pyramid.
Give your answer correct to 3 significant figures.
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Find the size of angle .
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The length of the longest diagonal of a cube is 25cm.
Calculate the total surface area of the cube.
................................................... cm2
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The diagram shows a right-angled triangular prism ABCDEF.
Calculate angle AFB.
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The diagram shows a cuboid ABCDEFGH.
Calculate angle BHF.
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is an isosceles triangle in a horizontal plane.
The point is vertically above
.
Angle
is the midpoint of
.
Calculate the size of the angle between and the horizontal plane
.
Give your answer correct to one decimal place.
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The diagram shows cuboid
The size of the angle between and the plane
is
Calculate the volume of the cuboid.
Give your answer correct to significant figures.
..............................................
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Here is a cube .
is the midpoint of the edge
.
Find the size of the angle between the line and the plane
.
Give your answer correct to decimal place.
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The diagram shows a triangular prism with a horizontal base
.
Calculate the size of the angle between and the base
.
Give your answer correct to 3 significant figures.
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The diagram shows a prism with a horizontal base.
The base of the prism, , is a square of side
Trapezium is a cross section of the prism where
and
are vertical edges.
Work out the size of the angle between and the base
Give your answer correct to one decimal place.
How did you do?