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 · Non-calculator · 15 questions

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1.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
2.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
3.A trapezium has parallel sides of 16 cm and 24 cm, and a perpendicular height of 7 cm. Work out the area of the trapezium.
(a)280 cm²
(b)140 cm²
(c)168 cm²
(d)47 cm
4.A parallelogram has an area of 84 cm² and a base of 12 cm. Work out the perpendicular height of the parallelogram.
(a)0.14 cm
(b)1008 cm
(c)3.5 cm
(d)7 cm
5.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
6.A cylinder has a volume of 942 cm³ and a height of 12 cm. Using π = 3.14, work out the radius of the cylinder.
(a)25 cm
(b)8.9 cm
(c)5 cm
(d)17.3 cm
7.A square tile has sides of length 6 cm. Work out the area of the tile.
(a)18 cm²
(b)12 cm
(c)36 cm²
(d)24 cm
8.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
9.A rectangular photograph has an area of 96 cm². One of its sides is 8 cm long. Work out the length of the other side.
(a)40 cm
(b)12 cm
(c)88 cm
(d)768 cm
10.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
11.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
12.The perimeter of a square is 20 cm. Work out the area of the square.
(a)5 cm
(b)25 cm²
(c)100 cm²
(d)400 cm²
13.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
14.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
15.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

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