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QQQ – Volumes and Surface Area 6 Determine the volume of this cylinder, giving your answer to 2dp. Name __________________ 1 Define ‘prism’. ________________________________ ________________________________ ________________________________ 2 Determine the volume of this solid: (be sure to give correct units) Volume = _______________ mm3 7 Determine the volume of this solid: (giving your answer either in terms of 𝜋 or to 2dp) Volume = ____________ 3 Determine the volume of this solid: Volume = ______________ m3 8 The side lengths of a cuboid are 𝑥 − 1, 4 and 2. If its surface area is 166, determine the value of 𝑥. 𝑥 = _____________ 3 Volume = ____________ m 4 The length of a prism is 20cm and its volume 150cm3. What is its crosssectional area? (give correct units) ________________________ 5 Determine the surface area of a cuboid with sides of length 3cm, 4cm and 5cm (be sure to give correct units). ________________________ www.drfrostmaths.com Score ________ / 8 Award ___________ QQQ – Volumes and Surface Area ANSWERS 1 Define ‘prism’. A 3D shape which has the same 2D shape/cross-section wherever you slice it/throughout. 2 Determine the volume of this solid: (be sure to give correct units) 6 Determine the volume of this cylinder: Volume = 𝟏𝟕𝟓𝝅 = 𝟓𝟒𝟗. 𝟕𝟖 mm3 7 Determine the volume of this solid: Volume = 𝟓𝟑𝒄𝒎𝟑 3 Determine the volume of this solid: Volume = 𝟏𝟖𝝅 + 𝟑𝟔 or 92.55 m3 8 The side lengths of a cuboid are 𝑥 − 1, 4 and 2. If its surface area is 166, determine the value of 𝑥. 𝒙 = 13.5 Volume = 60 m3 4 The length of a prism is 20cm and its volume 150cm3. What is its crosssectional area? (give correct units) 7.5cm2 5 Determine the surface area of a cuboid with sides of length 3cm, 4cm and 5cm (be sure to give correct units). 94cm2 (half mark if no/incorrect unit) www.drfrostmaths.com