If the area of a triangle with base 12 cm is equal to the area of a square with side 12 cm, the altitude of the triangle will be1). 12 cm2). 24 cm3). 18 cm4). 36 cm
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1. A cuboid has dimensions 16 cm x 20 cm x 20 cm. On one of its faces, a cube is pasted along the face so that the faces fit each other exactly. What will be the total surface area of structure formed?(in square cm)
2. The perimeter of a triangle and an equilateral triangle are same. Also, one of the sides of the rectangle is equal to the side of the triangle. The ratio of the area of the rectangle and the triangle is
3. In $\triangle ABC$, D and E are two points on the sides AB and AC respectively so that $DE\parallel BC$ and $\frac{AD}{BD}$ = $\frac{2}{3}$. Then $\frac{the area of trapezium DECB}{the area of \triangle ABC}$ is equal to
4. The ratio of the radii of two wheels is 3:4. The ratio of their circumference is
5. ABC is an isosceles right angled triangle with $\angle B$ = $90^{0}$ . On the sides AC and AB, two equilateral triangles ACD and ABE have been constructed. The ratio of area of $\triangle ABE$ and $\triangle ACD$ is
6. If sec(- 7π/4) = x, then the value of x is
7. From a solid cylinder whose height is 12 cm and diameter 10cm, a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is approximately ( $\pi$ = $\frac{22}{7}$)
8. A cylinder, a cone and a hemisphere stand on the same base and have same height. The ratio of their volumes is
9. A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = $\frac{22}{7}$)
10. A tent is to be built in the form of a cylinder of radius 7 m surmounted by a cone of the same radius. If the height of the cylindrical part is 8 m and slant height of the conical part is 12 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)
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