Common Core 7.G.B.6 worksheet
7th grade (Year 8 in England) · 16 questions · Common Core: 7.G.B.6, 8.G.C.9 · England: KS3 Geometry, GCSE Foundation Geometry, KS3 Geometry and measures
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Question 1
A triangular prism has a triangular end with base 3 cm and height 4 cm. The prism is 8 cm long. What is its volume, in cm³?
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Question 2
A prism has a cross-section shaped like a L-shape with area 29 cm². It is 11 cm long. What is its volume, in cm³?
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Question 3
A tent-shaped prism has isosceles triangle ends: base 8 m, height 3 m and sloping sides 5 m. The prism is 10 m long. What is its total surface area, in m²?
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Question 4
A triangular prism has a triangular end with base 3 cm and height 5 cm. The prism is 6 cm long. Find its volume, in cm³.
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Question 5
A triangular prism has right-angled triangle ends with sides 5 cm, 12 cm and 13 cm. It is 12 cm long. Find its total surface area, in cm².
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Question 6
A tent is a triangular prism. Its triangular end has base 6 m and height 4 m. The tent holds 132 m³ of air. How long is the tent, in m?
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Question 7
A label wraps exactly once around a can with radius 6 cm and height 13 cm (no overlap, no top or bottom). Its area is kπ cm². What is k?
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Question 8
A prism has a cross-section of area 7 ft² and length 6 ft. What is its volume, in ft³?
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Question 9
Find the total surface area of a closed cylinder with radius 4 cm and height 6 cm, to 1 decimal place.
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Question 10
A triangular prism has a triangular end with base 11 ft and height 4 ft. The prism is 15 ft long. What is its volume, in ft³?
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Question 11
A prism has a cross-section shaped like a pentagon with area 11 cm². It is 8 cm long. What is its volume, in cm³?
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Question 12
A tent-shaped prism has isosceles triangle ends: base 16 m, height 6 m and sloping sides 10 m. The prism is 9 m long. What is its total surface area, in m²?
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Question 13
A triangular prism has a triangular end with base 10 cm and height 9 cm. The prism is 18 cm long. Find its volume, in cm³.
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Question 14
A triangular prism has right-angled triangle ends with sides 10 cm, 24 cm and 26 cm. It is 10 cm long. Find its total surface area, in cm².
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Question 15
A tent is a triangular prism. Its triangular end has base 12 m and height 5 m. The tent holds 90 m³ of air. How long is the tent, in m?
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Question 16
A label wraps exactly once around a can with radius 7 cm and height 18 cm (no overlap, no top or bottom). Its area is kπ cm². What is k?
Answer
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