Surface Area and Volumes (IMO- Mathematics Olympiad Class 9): Questions 10 - 14 of 104

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Question number: 10

» Surface Area and Volumes

MCQ▾

Question

27 metal balls each of radius r are melted together to from one big sphere of radius R. Then the ratio of surface area of the big sphere to that of a ball is ________

Choices

Choice (4) Response

a.

3

b.

9

c.

3

d.

27

Question number: 11

» Surface Area and Volumes

MCQ▾

Question

A rectangle is divided into four smaller rectangles, as shown in the figure. Three of them have areas 9units2 , 21units2 and 38units2 as indicated. Then the area of the shaded rectangle is ________

Given the rectangle is divided into four rectangles

Given the Rectangle Is Divided Into Four Rectangles

Given the rectangle is divided into four smaller rectangles and three of them have area 9 units, 21 units, 38 unit as indicated and find the area of the shaded rectangle

Choices

Choice (4) Response

a.

1963units2

b.

5315units2

c.

1553units2

d.

6319units2

Question number: 12

» Surface Area and Volumes

MCQ▾

Question

A rectangular field has its length and breadth in the ratio 5:3 . Its area is 3.75 hectares. The cost of fencing it at Rs. 5 per meter is ________

Choices

Choice (4) Response

a.

Rs. 1000

b.

Rs. 500

c.

Rs. 4000

d.

Rs. 400

Question number: 13

» Surface Area and Volumes

MCQ▾

Question

If the altitude of an equilateral triangle is 23cm , its area is ________

Choices

Choice (4) Response

a.

43cm2

b.

63cm2

c.

2cm2

d.

83cm2

Question number: 14

» Surface Area and Volumes

MCQ▾

Question

A triangle and a trapezoid are equal in area. They also have the same altitudes. If the base of the triangle is 18 inches, the mean of the parallel sides of the trapezoid is ________

Choices

Choice (4) Response

a.

36 inches

b.

Not obtained from this data

c.

18 inches

d.

9 inches

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