MENSURATION Class VIII

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Quiz 1 Made by Mrs. Pintu Prasad

1. A cube of side 5 cm is painted on all its faces. If it is sliced into 1cubic cm cubes, how many 1 cubic cm cubes will have exactly one of their faces painted?

2 points

(a) 27

(b) 42

(d) 142

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2. A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?

2 points

(a) 1 : 2

(b) 1 : 3

(d) 1 : 6

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3. A circle of maximum possible size is cut from a square sheet of board.Subsequently, a square of maximum possible size is cut from the resultant circle. What will be the area of the final square?

2 points

(a)3/4 of original square.

(b)1/2 of original square.

d)2/3 of original square.

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4. What is the area of the largest triangle that can be fitted into a rectangle of length l units and width w units?

2 points

(a) lw/2

(b) lw/3

(d) lw/4

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5. If the height of a cylinder becomes1/4 of the original height and the radius is doubled, then which of the following will be true?

2 points

(a) Volume of the cylinder will be doubled.

(b) Volume of the cylinder will remain unchanged.

(d) Volume of the cylinder will be1/4 of the original volume.

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6. The volume of a cylinder whose radius r is equal to its height is

2 points

(a)1/4 πr^3

(b) πr^ 3/32

(d) πr^3/8

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7. The figure ABCD is a quadrilateral in which AB = CD and BC = AD. Its area is

2 points

(a) 72 cm^2

(b) 36 cm^2

(d) 18 cm^2

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8. What is the area of the rhombus ABCD below if AC = 6 cm, and BE = 4cm?

2 points

(a) 36 cm^2

(b) 16 cm^2

(d) 13 cm^2

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9. A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and thickness of wood as 2.5 cm. The volume of the wood is

2 points

(a) 85,000 cm^3

(b) 80,000 cm^3

(d) 84,000 cm^3

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10 If R is the radius of the base of the hat, then the total outer surface area of the hat is

2 points

(a) πr (2h + R)

(b) 2πr (h + R)

(d) None of these

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