Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Measurement - Surface area and volume.
Test Yourself 1.

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• Index

 

Prisms	1.
	3. A cube has a volume of 512 cm3. What is the surface area of this cube? Answer.Surface area = 384 cm2
	4. A 3D shape is developed from two parts - one is a cube and the other is a triangular prism. The image is shown below. What is the surface area of this solid?
	5. A skip bin in the shape of a trapezoidal prism is shown in the diagram below. The dimensions are indicated. The skip bin has a volume of 3.84 m3. Find the length of the bottom side marked x. Answer.1.4 m.
Cylinders	6.
	8. A tennis ball has an average diameter of 6.7 cm. They are packaged into pressurised cans of 6.9 cm diameter which contain 4 balls. The cans are 28 cm long. (i) What is the volume of the can (to 1 decimal place)? (ii) What is the volume of one tennis ball (to 1 decimal place)? (iii) What is the percentage of empty space surrounding the balls in one can containing 4 balls (to nearest %)? Answer.(i) 987.2 cm 3. (ii) Vol of ball = 157.5 cm3. (iii) 36%.
Spheres	11.
Pyramids	16.
	18. A pyramid has a square base with side lengths of 18 cm. The height of the pyramid is 25 cm. Find the surface area and the volume of this pyramid.
	19. A pyramid has a vertical height of 1.4 m and a square base with sides of 90 cm. Calculate the capacity of the pyramid to the nearest 10 litres.
Composite solids	21.