Aussie Maths & Science Teachers: Save your time with SmarterEd
A fish tank is in the shape of a cube with a side length of 20 centimetres.
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A packing box is in the shape of a cube with a side length of 40 centimetres.
Calculate the volume of the packing box in cubic metres. (2 marks)
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A paper recycling bag is in the shape of a cube with a side length of 0.5 metres.
Estimate the volume of the recycling bag in cubic metres. (2 marks)
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A cooking vat in the shape of a cube has a volume of 1.331 cubic metres.
Calculate the side length of the vat. (2 marks)
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Find the side length of a cube with a volume of 0.343 cubic metres. (2 marks)
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Find the side length of a cube with a volume of 117 649 cubic centimetres. (2 marks)
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Find the side length of a cube with a volume of 27 cubic millimetres. (2 marks)
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Calculate the volume of a cube with a side length of 21 millimetres. (2 marks)
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Calculate the volume of a cube with a side length of 9 metres. (2 marks)
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Calculate the volume of a cube with a side length of 3.6 metres. (2 marks)
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Calculate the volume of a cube with a side length of 4 centimetres. (2 marks)
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Calculate the volume of the cube below in cubic metres. (2 marks)
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Calculate the volume of the cube below in cubic millimetres. (2 marks)
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Calculate the volume of the cube below in cubic metres. (2 marks)
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Calculate the volume of the cube below in cubic centimetres. (2 marks)
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A timber door wedge is pictured below.
The wedge is in the shape of a triangular prism.
What is the volume of the wedge in cubic centimetres?
A wheelchair ramp is pictured below.
The ramp is in the shape of a triangular prism.
What is the volume of the ramp?
Concrete is poured to make a pathway.
The dimensions of the slab are shown in the diagram below.
If the concrete costs $180 per cubic metre to pour, what is the cost of pouring the slab?
A kitchen sink is in the shape of a rectangular prism.
Its measurements can be seen below:
If one cubic metre holds 1000 litres of water, how many litres of water will it take to fill the kitchen sink?
Give your answer correct to the nearest litre. (2 marks)
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A shipping container in the shape of a rectangular prism is to be converted into a swimming pool.
Its measurements can be seen below:
If one cubic metre holds 1000 litres of water, how many litres of water will the shipping container hold? (2 marks)
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A water trough is in the shape of a rectangular prism.
Its measurements can be seen below:
If one cubic metre holds 1000 litres of water, how many litres of water will the water trough hold? (2 marks)
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A dog bath is in the shape of a rectangular prism.
Its measurements can be seen below:
If one cubic metre holds 1000 litres of water, how many litres of water will the dog bath hold? (2 marks)
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The measurements of the prisms below are all in centimetres.
Which prism has the capacity to hold exactly 2 litres of water?
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The measurements of the prisms below are all in centimetres.
Which prism has the capacity to hold exactly 1 litre of water?
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Linda made these solid prisms out of identical cubes.
Which prism has the largest volume?
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Armon made these solid prisms out of identical cubes.
Which prism has the largest volume?
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The shaded triangle has an area of 40 cm
What is the volume of the triangular prism?
The shaded triangle has an area of 80 cm
What is the volume of the triangular prism?
The shaded rectangle has an area of 60 cm
What is the volume of the rectangular prism?
The shaded rectangle has an area of 25 cm
What is the volume of the rectangular prism?
A concrete staircase leading up to the grandstand has 10 steps.
The staircase is 1.6 m high and 3.0 m deep.
Its cross-section comprises identical rectangles.
One of these rectangles is shaded in the diagram below.
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The concrete staircase is 2.5 m wide.
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Khaleda manufactures a face cream. The cream comes in a cylindrical container.
The area of the circular base is 43 cm2. The container has a height of 7 cm, as shown in the diagram below.
What is the volume of the container in cubic centimetre? (2 marks)
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A closed cylindrical water tank has external diameter 3.5 metres.
The external height of the tank is 2.4 metres.
The walls, floor and top of the tank are made of concrete 0.25 m thick.
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Miki is planning a gap year in Japan.
She will store some of her belongings in a small storage box while she is away.
This small storage box is in the shape of a rectangular prism.
The diagram below shows that the dimensions of the small storage box are 40 cm × 19 cm × 32 cm.
Calculate the volume of the storage box in cubic centimetres. (2 marks)
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Tennis balls are packaged in cylindrical containers.
Frank purchases a container of tennis balls that holds three standard tennis balls, stacked one on top of the other.
This container has a radius of 3.4 cm and a height of 20.4 cm, as shown in the diagram below.
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The floor of a chicken coop is in the shape of a trapezium.
The floor,
In the diagram
Write your answer in square metres. (2 marks)
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A rectangular block of land has width 50 metres and length 85 metres.
In order to build a house, the builders dig a hole in the block of land.
The hole has the shape of a right-triangular prism,
The width
Calculate the volume of the right-triangular prism,
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A shed has the shape of a prism. Its front face,
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A small cubic box that holds a squash ball has side length of 4.1 centimetres, as shown in the diagram below.
What is the volume, in cubic centimetres, of the box? (2 marks)
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A shipping container has a height of 2.6 m, a width of 2.4 m and a length of 6 m, as shown in the diagram below.
What is the volume, in cubic metres, of the shipping container? (2 marks)
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A tent with semicircular ends is in the shape of a prism. The diameter of the ends is 1.5 m. The tent is 2.5 m long.
Calculate the total volume of the tent in cubic metres, correct to one decimal place. (2 marks)
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A cake is in the shape of a rectangular prism, as shown in the diagram below.
The cake is cut in half to create two equal portions.
The cut is made along the diagonal, as represented by the dotted line.
Calculate the volume, in cubic centimetres, of one portion of the cake. (2 marks)
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The solid cylindrical rod shown above has a volume of 490.87 cm3. The length is 25.15 cm.
The radius (in cm) of the cross-section of the rod, correct to one decimal place, is
The square below has an area of 1 square centimetre.
1 cm² = _____ mm × _____ mm = _______ mm² (1 mark)
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The Google main campus in California covers an area of 137 500 square metres.
Using the conversion ratio, 1 hectare = 10 000 m², determine the area of the property in hectares. (1 mark)
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A circle is drawn from a city centre with a radius of 800 metres.
Using the conversion ratio, 1 km² = 1 000 000 m², determine the area of the circle in square kilometres, to two decimal places. (2 marks)
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A Queensland outback pastoralist owns a property with an area of 500 square kilometres.
Using the conversion ratio, 1 km² = 1 000 000 m², determine the exact area of the property in square metres. (2 marks)
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A circle has a radius of 60 centimetres.
Using the conversion ratio, 1 m² = 10 000 cm², or otherwise, calculate the exact area of the circle in square metres. (2 marks)
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A poster has an area of 2500 square centimetres.
Using the conversion ratio, 1 m² = 10 000 cm², express this area in square centimetres. (1 mark)
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Athletes throw shot puts from a shot put circle with a standard diameter of 2.13 metres.
Using the conversion ratio, 1 m² = 10 000 cm², or otherwise, calculate the area of a shot put circle to the nearest square centimetres. (3 marks)
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A pickleball court has an area of 81.74 square metres.
Using the conversion ratio, 1 m² = 10 000 cm², express this area in square centimetres. (1 mark)
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The end of a cylinder has an area of 60 square millimetres.
Using the conversion ratio, 1 cm² = 100 mm², express this area in square centimetres. (1 mark)
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One side of an Australian 10-cent coin has an area of 437 square millimetres.
Using the conversion ratio, 1 cm² = 100 mm², express this area in square centimetres. (1 mark)
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A circle with radius 1 cm, has an area of
Using the conversion ratio, 1 cm² = 100 mm², express the area of the circle in square millimetres. (1 mark)
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A rectangle has an area of 450 square centimetres.
Using the conversion ratio, 1 cm² = 100 mm², express the area of the rectangle in square millimetres. (1 mark)
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Find the value of
Find the value of
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