Area, Perimeter & Volume: Hard Test 8

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 cube of side 3 cm is glued centrally on top of a cube of side 6 cm. What is the total surface area of the solid?
A rectangular lawn is 3 m longer than it is wide, and its perimeter is 46 m. What is its area?
The length of a rectangle is doubled and its width is halved. What happens to its area?
Two identical right-angled triangles, each with a base of 8 cm and a height of 5 cm, are joined along their longest sides to make a rectangle. What is the perimeter of that rectangle?

For a compound shape, split it into rectangles, work out each area separately, then add. Draw the dividing line on the diagram.
The area of a triangle is base times height divided by 2. The height must be perpendicular to the base, not the sloping side.