Volume and Surface Area of Prisms and Cylinders (Year 10)
Free printable NZ Year 10 maths worksheet: volumes and surface areas of rectangular prisms, triangular prisms and cylinders, with labelled solid diagrams drawn to scale.
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Grade 9 · Math worksheet
Name
Date
Math
Volume and Surface Area of Prisms and Cylinders
Find the volume or total surface area of each solid. Volume = cross-section area x length (or pi x r^2 x h for a cylinder). Use pi ~ 3.14 for decimal answers.
- 1.The rectangular prism shown is 8 cm long, 3 cm wide and 6 cm high. Find its volume.
- 2.The rectangular prism shown is 5 cm long, 8 cm wide and 3 cm high. Find its volume.
- 3.The rectangular prism shown is 7 cm long, 8 cm wide and 4 cm high. Find its total surface area (the area of all 6 faces).
- 4.The cylinder shown has radius 3 cm and height 13 cm. Find its volume as an exact multiple of pi, and as a decimal using pi ~ 3.14.
- 5.The cylinder shown has radius 6 cm and height 6 cm. Find its volume as an exact multiple of pi, and as a decimal using pi ~ 3.14.
- 6.The cylinder shown has radius 4 cm and height 12 cm. Find its total surface area (the two circular ends plus the curved face) as an exact multiple of pi, and as a decimal using pi ~ 3.14.
- 7.The triangular prism shown has a right-triangle cross-section with legs 15 cm and 8 cm, and the prism is 18 cm long. Find its volume.
- 8.The triangular prism shown has a right-triangle cross-section with legs 4 cm and 3 cm, and the prism is 7 cm long. Find its volume.
- 9.The triangular prism shown has a right-triangle cross-section with legs 15 cm and 8 cm and hypotenuse 17 cm, and the prism is 11 cm long. Find its total surface area (two triangle ends plus three rectangular faces).
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