(1)
(2)
(3)
(4) In the given figure, the area of triangle BCD is 6.4 cm^{2}. Find the area of
(a) Triangle ACE
(b) Quadrilateral ABDE
(5) Find
(a) The value of x
(b) The area of triangle PQT is given quadrilateral QRST has the area 22 m^{2 }Solution
(6) What will happen to the volume of
(a) a sphere if the radius is doubled
(b) A cylinder if the radius and the height are increased by 50% ?
(1) 14.16 m^{2} (2) 41.6 m^{2} (3) 8.47 m^{2} |
(4) (a) 12.54 cm^{2} (b) 6.14 cm^{2} (5) (a) x = 1.5 cm (b) 17.6 m^{2} (6) (a) It is multiplied by 8 (b) It is multiplied by 3.375 |
(1) Two similar solids have side lengths in the ratio 2 : 5.
(a) What is the ratio of their volumes ?
(b) If the smaller shape has a volume of 100 mm^{3}, what is the shape of the larger shape ?
(2) Two similar solids have volumes of 20 m^{3} and 1280 m^{3}. James says that the sides of the larger solids are 4 times as long as the sides of the smaller shape. Claire says that the sides are 8 times longer. Who is correct ?
(3) Find the value of x and y and the measure of angle P.
(4) Two polygons are similar. If the ratio of their perimeters is 3 : 4, find the ratio of the corresponding sides.
(5) Two polygons are similar. If the ratio of the area is 100 : 49, find the ratio of their corresponding sides.
(6) Two triangles are similar and the perimeter of the smaller one is 50. The ratio of the corresponding sides is 3 : 4, find the perimeter of the larger triangle.
(7) 2 triangles are similar and a side of the smaller one is 8. The ratio of the corresponding areas is 25:36, find the length of the corresponding side of the larger triangle.
(1) (a) 8 : 125 (b) 1562.5 cm^{3} (2) James is correct (3) (a) x = 6, y = 10.5 cm (b) 86 degree. |
(4) 3 : 4 (5) 10 : 7. (6) 66.67 (7) 5 : 6 |
(1) Triangle DEC has area 4.2 cm^{2}.
a) Find the area of triangle ABC.
b) Find the area of quadrilateral ABED.
(2) If triangle ABC has area 15 cm^{2}:
a) find the area of ΔCDE
b) find the area of PQED.
(3) What will happen to the volume of:
a) a sphere if the radius is doubled
b) a sphere if the radius is increased by 20%
(1) (i) 9.45 cm^{2} (ii) 5.25 cm^{2}. (2) (a) 9.6 (b) 28.8 cm^{2}
(3) (a) 8 x (4/3)πr^{3 }(b) 1.728 x (4/3)πr^{3}
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