Bissoy.com
Doctors Medicines MCQs Q&A

The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is

The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is Correct Answer 1480

Calculation:

The base is a trapezium whose parallel sides are 10cm and 20 cm

Let the length of non-parallel sides be x cm.

[ alt="F1 Ravi S 12.3.21 Pallavi D2" src="//storage.googleapis.com/tb-img/production/21/03/F1_Ravi%20S_12.3.21_Pallavi_D2.png" style="width: 245px; height: 106px;">

x2 = 122 + 52 

⇒ x = 13

Pillar will have 2 trapezoid faces and 4 rectangular faces

Area of 4 rectangle

= 2  (13 x 20) + 20 × 20 + 10 × 20 = 1120 cm2

Area of a trapezium

= (1/2) × 12 × (10 + 20) = 180 cm2

Total area

= 2 × 180 + 1120 = 360 = 1120 = 1480 cm2

⇒ Total area = 1480 cm2

Related Questions

“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
The lengths of parallel sides of the trapezium be 50 m and 160 m. While the distance between the two parallel sided is 1/3rd of the sum of the parallel sides of the trapezium. What is the area of the trapezium?
Given below are two quantities named A & B. Based on the given information; you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross-section is 16 cm. What is the length of the wire? Quantity B: The ratio of length of two parallel sides is 10 : 9 and distance between them is 15 cm. Find the length of longer side of the two parallel sides, if the area of the trapezium is 285 cm2
The base of a prism is a trapezium. The length of the parallel sides of the trapezium are 5 cm and 15 cm respectively and the distance between the parallel sides is 12 cm. If the volume of trapezium prism is 1200 cm3. What the total surface area of the trapezoidal prism?
The average of the height of the 20 employee of the company is 1.5 m.In the month of June, two employees named Rita and Sumit left the company whose height are 1.4 m and 1.6 m respectively. In August, two more people left the company whose average of height is 1.7 m and one person join the company whose height is 87.5% of height of Sumit. Before the December, more four people left the company whose height are 1.3 m, 1.1 m, 1.32 m and 1.25 m respectively and more 5 people join the company whose height are 1.26 m, 1.18 m, 1.39 m and 1.4 m respectively. The average of height in the month of September is ….
The difference between two parallel sides of a trapezium is 4 cm. perpendicular distance between them is 19 cm. If the area of the trapezium is 475 find the lengths of the parallel sides.
Area of an isosceles trapezium is 216 cm2 and perpendicular distance between parallel sides is 12 cm. If one of the parallel sides is 10 cm longer than the other parallel side, then what is the length of diagonal of the trapezium?
The non-parallel sides of trapezium are equal in length and are of 20 cm each while length of the parallel sides of the trapezium are 50 cm and 26 cm respectively. Compute the area of trapezium which can be plotted with the help of given dimension by assuming data wherever necessary.
A trapezium is formed by joining two parallel line segments of unequal length. The arrangement of both lines is such that the excessive length of the longer parallel line segment is equally distributed on both sides of the end point of shorter line segment. The non-parallel line segments are of equal length and the length of parallel line segments in 10 cm and 18 cm. What is the area of trapezium if the perimeter is 38cm?
A triangle and trapezium have the same base. The common side is the longer parallel side of the trapezium and it is 50% more than the other parallel side. The areas of the triangle and trapezium are equal. What is the ratio of the height of the triangle to trapezium?