Area, Perimeter & Volume: Hard Test 7

15 questions · 15 minutes

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Each square on this grid is 1 cm by 1 cm. What is the area of the shape?
A cuboid measures 9 cm by 4 cm by an unknown height. Its total surface area is 202 cm². What is its height?
A rectangular pool measures 10 m by 6 m. A path of the same width all the way around it brings the total area, pool and path together, to 96 m². How wide is the path?
The edges of a cube are all made 3 times longer. How many times bigger is its volume?
A rectangle measures 14 cm by 9 cm. A triangle with a base of 6 cm and a height of 9 cm is cut from one corner. What area is left?

Area is measured in squared units and volume in cubed units. Writing cm instead of cm squared loses marks that the arithmetic had already earned.
For a compound shape, split it into rectangles, work out each area separately, then add. Draw the dividing line on the diagram.