Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?
The height of a solid cylinder is 8 cm and its base radius is 6 cm, a cone of equal height and the radius is extracted from the cylinder, then find the total surface area of the remaining solid.
1). 6π cm2
2). 36π cm2
3). 216π cm2
4). 16π cm2
The area of the base of a cuboidal box is 35 sq. cm and the area of one of the faces is 60 sq. cm. The numerical value of each of the dimensions of this box is an integer greater than 1. Then the volume of the cuboidal box, in cu. cm, is
1). 210
2). 620
3). 840
4). 420
ABCD is a parallelogram, ∠DAB = 30° AD = 10 cm and AB = 20 cm. Find the area of a parallelogram
Compute the ratio of the volumes of two cylinders if the ratio of radii of the bases is 9 : 4 and the ratio of their heights is 3 : 7
1). 243 : 112
2). 731 : 851
3). 245 : 321
4). 920 : 891