Cuboid – Volume – Foundation – GCSE Questions

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Presentation transcript:

Cuboid – Volume – Foundation – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

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GCSE GCSE Edexcel Foundation: November 2017 Paper 3, Q16 Kris has a van. She is going to use the van to deliver boxed. Each box is a cuboid, 30 cm by 15 cm by 40 cm. The space for boxes in the van has maximum length 1.8 m maximum width 1.5 m maximum height 2.4 m The space for boxes is empty. Kris wants to put as many boxes as possible into the van. She can put 3 boxes into the van in one minute. Assume that the space for boxes is in the shape of a cuboid. Work out how many minutes it should take Kris to put as many boxes as possible into the van. 1 Kris has a van. She is going to use the van to deliver boxed. Each box is a cuboid, 30 cm by 15 cm by 40 cm. The space for boxes in the van has maximum length 1.8 m maximum width 1.5 m maximum height 2.4 m The space for boxes is empty. Kris wants to put as many boxes as possible into the van. She can put 3 boxes into the van in one minute. Assume that the space for boxes is in the shape of a cuboid. Work out how many minutes it should take Kris to put as many boxes as possible into the van. 40 cm 40 cm 30 cm 30 cm 15 cm 15 cm minutes minutes (1) (1) The space for boxes might not be in the shape of a cuboid. (b) Explain how this could affect the time it would take Kris to put as many boxes as possible into the van. The space for boxes might not be in the shape of a cuboid. (b) Explain how this could affect the time it would take Kris to put as many boxes as possible into the van. (1) (1) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Foundation: November 2017 Paper 3, Q16 Kris has a van. She is going to use the van to deliver boxed. Each box is a cuboid, 30 cm by 15 cm by 40 cm. The space for boxes in the van has maximum length 1.8 m maximum width 1.5 m maximum height 2.4 m The space for boxes is empty. Kris wants to put as many boxes as possible into the van. She can put 3 boxes into the van in one minute. Assume that the space for boxes is in the shape of a cuboid. Work out how many minutes it should take Kris to put as many boxes as possible into the van. 40 cm 30 cm 15 cm minutes (1) The space for boxes might not be in the shape of a cuboid. (b) Explain how this could affect the time it would take Kris to put as many boxes as possible into the van. (1) (Total for Question 1 is 5 marks)

GCSE Length = 180 30 = 6 6 x 6 x 10 = 360 360 3 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 𝑝𝑒𝑟 𝑏𝑜𝑥 = 120 Edexcel Foundation: November 2017 Paper 3, Q16 1 Kris has a van. She is going to use the van to deliver boxed. Each box is a cuboid, 30 cm by 15 cm by 40 cm. The space for boxes in the van has maximum length 1.8 m maximum width 1.5 m maximum height 2.4 m The space for boxes is empty. Kris wants to put as many boxes as possible into the van. She can put 3 boxes into the van in one minute. Assume that the space for boxes is in the shape of a cuboid. Work out how many minutes it should take Kris to put as many boxes as possible into the van. 40 cm 30 cm 15 cm Length = 180 30 = 6 6 x 6 x 10 = 360 360 3 𝑚𝑖𝑛𝑢𝑡𝑒𝑠 𝑝𝑒𝑟 𝑏𝑜𝑥 = 120 Height = 240 40 = 6 Width = 150 15 = 10 120 minutes (1) The space for boxes might not be in the shape of a cuboid. (b) Explain how this could affect the time it would take Kris to put as many boxes as possible into the van. If the boxes do not fit exactly into the dimensions, less boxes can be fit in and it will take less time. (1) (Total for Question 1 is 5 marks)

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk