Area - practice problems - page 2 of 150
Number of problems found: 2982
- Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - 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.
- The cuboid 2
If the areas of three adjacent faces of a cuboid are 6,10,22 respectively then find the volume of the cuboid. - The frustum
A frustum of a pyramid is 4 cm at the top and 7 cm at the bottom square, and it's 6 cm high. Calculate the volume of the frustum.
- Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm. - The length 19
The length and the width of a rectangle are (x+2) and (x-3). If it area is 24cm², what are its dimensions? - Parallel sides
Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium. - Three ratios 2 What is the ratio of bases of two triangles when the ratio of their heights is 3:4 and the ratio of their areas is 4:3?
- PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
