Printable · GCSE Foundation · ages 14-16

Area of 2D shapes and volume of prisms worksheet — GCSE Foundation

Fifteen questions on "area of 2d shapes and volume of prisms" — DfE statement G16. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Area of 2D shapes and volume of prisms worksheet — GCSE Foundation

Maths · GCSE Foundation · G16 · Area of 2D shapes and volume of prisms · 15 questions

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1.A garden flower bed is in the shape of a trapezium. Its two parallel edges are 3.5 m and 6.5 m long, and the perpendicular distance between them is 4 m. Bedding plants cost £2.50 per square metre to cover the bed. Work out the total cost of the bedding plants.
(a)£100
(b)£65
(c)£35
(d)£50
2.A chocolate bar is a prism. Its cross-section is a triangle with a base of 6 cm and a perpendicular height of 5 cm, and the bar is 12 cm long. Work out the volume of the bar.
(a)180 cm³
(b)66 cm³
(c)15 cm³
(d)360 cm³
3.A cylinder has a radius of 5 cm. Its volume is 471 cm³. Using π = 3.14, work out the height of the cylinder.
(a)150 cm
(b)24 cm
(c)30 cm
(d)6 cm
4.A cylinder has a radius of 3 cm and a height of 10 cm. Using π = 3.14, work out the volume of the cylinder.
(a)94.2 cm³
(b)90 cm³
(c)282.6 cm³
(d)1130.4 cm³
5.A cylinder has a radius of 3 cm and a height of 10 cm. Using π = 3.14, work out the volume of the cylinder. Give your answer to the nearest whole number of cubic centimetres.
(a)188 cm³
(b)1130 cm³
(c)94 cm³
(d)283 cm³
6.A garden water trough is a prism whose cross-section is a right-angled triangle with base 40 cm and height 30 cm. The trough is 120 cm long. Work out the volume of water needed to fill the trough completely.
(a)36 000 cm³
(b)72 000 cm³
(c)144 000 cm³
(d)720 cm³
7.A parallelogram has a base of 20 cm and a sloping side of 13 cm. The perpendicular drawn from the top of that sloping side down to the base meets the base 5 cm from the foot of the sloping side, so the perpendicular, the 5 cm and the 13 cm sloping side form a right-angled triangle. Work out the area of the parallelogram.
(a)100 cm²
(b)260 cm²
(c)120 cm²
(d)240 cm²
8.A rectangular bookmark measures 2 cm by 25 cm. Work out the area of the bookmark.
(a)54 cm
(b)50 cm²
(c)25 cm²
(d)27 cm
9.A cuboid-shaped shipping crate has a length of 12 m, a width of 5 m, and a volume of 360 m³. Work out the height of the crate, in metres.
(a)30 m
(b)6 m
(c)300 m
(d)72 m
10.A solid cube has a volume of 8 cm³. Work out the length of one edge of the cube.
(a)4 cm
(b)2 cm
(c)2.83 cm
(d)8 cm
11.A trapezium has parallel sides of 5 cm and 11 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.
(a)32 cm²
(b)44 cm²
(c)20 cm²
(d)64 cm²
12.In triangle ABC the base BC is 10 cm long and the sloping side AB is 13 cm long. The perpendicular height from A down to BC is 12 cm. Work out the area of triangle ABC.
(a)65 cm²
(b)60 cm²
(c)120 cm²
(d)78 cm²
13.A trapezium has parallel sides of 5.6 cm and 8.4 cm, and a perpendicular height of 4 cm. Work out the area of the trapezium.
(a)33.6 cm²
(b)28 cm²
(c)5.6 cm²
(d)56 cm²
14.A wooden cube has edges of length 4 cm. Work out the total surface area of the cube.
(a)96 cm²
(b)24 cm²
(c)16 cm²
(d)64 cm³
15.A trapezium has an area of 45 cm², a perpendicular height of 5 cm, and one parallel side of length 10 cm. Work out the length of the other parallel side.
(a)18 cm
(b)28 cm
(c)8 cm
(d)4 cm

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