Area - practice problems - page 2 of 161

Number of problems found: 3206

Mowing lawn
Tara is mowing her lawn. She mows 3/5 of her 925-square-metre lawn before stopping to chat with a neighbour. How many square metres does Tara have left to mow?
Prism - base and height
Find the volume of a prism if the base area equals 20 in² and the height is 12 inches.
Largest circle
If the largest possible circle is cut from an 8 cm × 4 cm rectangle, what is the area in cm² of the remaining portion?
Two cubes 2
Two cubes, each with a volume of 125 cm³, are joined end to end. Find the surface area of the resulting cuboid.
A variable
A variable rectangle has a constant area of 35 cm². Find the side lengths when the perimeter is at its minimum.
Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
Spheres - ratios
The surface areas of two spheres are in the ratio 1:4. Find the ratio of their volumes.
The radius 3
The radius of a solid circular cylinder decreases by 20% and its height increases by 10%. Find the percentage change in its: a) volume, b) curved surface area.
Grassland and goat
An unfenced piece of grassland is a right triangle ABC with AB = 4 m, BC = 8 m, and AC as the hypotenuse. A goat is tied to a 5-metre rope with its stake at point O, which is 2 m from side AB and 2 m from the extension of side BC beyond corner B. Then: 1.
Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades.
The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one.
Rhombus tiles
The floor of a building consists of 3000 rhombus-shaped tiles, and each of its diagonals is 45 cm and 30 cm in length. Find the cost of polishing the floor at the rate of $4 per square meter.
Incircle to circumcircle
Find the ratio of the areas of the incircle and the circumcircle of a square.
A cube 4
A cube of edge 5 cm is cut into cubes, each of edge 1 cm. Find the ratio of the total surface area of one of the small cubes to that of the large cube.
Square lawn
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 square meters, find the area of the lawn.
A capsule
A medicine capsule is a cylinder with two hemispheres stuck to each end. Its length is 14 mm, and its diameter is 5 mm. Find its surface area.
Revolving to cone
A triangle whose sides are 20 cm, 16 cm, and 12 cm is revolving around its greatest side as axis. What is the volume space it generates after a full revolution in cubic centimeters?
The dimensions
The dimensions of a rectangular piece of paper are 22 cm × 14 cm. It is rolled once across the breadth and once across the length to form right circular cylinders of biggest possible surface area. Find the difference in volumes of the two cylinders that w
The square - midpoints
The area of a square ABCD is 36 cm². Find the area of the square obtained by joining the midpoints of the sides of the square ABCD.
Ones cube
Find the volume of a cube whose total surface area is 6 m².

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