Mensuration Test

Result

Mensuration Test - 3

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1

1 / -0

Fill in the blanks with the help of the table given and mark the correct option.

(i) The area of a rectangle becomes ___ times its original area if its length and width are doubled.
(ii) The curved surface area of a cylinder becomes _________ if the height is doubled.
(iii) All the faces of a cube are ______ in area.
(iv) If the height (h) of a cylinder is equal to the radius (r) of its base, then the total surface area of the cylinder, in terms of r, is _______.

	(i)	(ii)	(iii)	(iv)
A	2	triple	unequal	4πrh
B	4	double	equal	4πr²
C	8	double	unequal	2πr²
D	4	single	equal	2πrh + 2πr²

A

B

C

D

Solution

(i) The area of a rectangle becomes 4 times its original area if its length and width are doubled.
(ii) The curved surface area of a cylinder becomes double if the height is doubled, using the formula 2πrh
(iii) All the faces of cube are equal in area.
(iv) If height (h) of a cylinder = radius (r) of the base of the cylinder, then

Total surface area of the cylinder = 2πrh + 2πr²

= 2πr × r + 2πr²
= 2πr² + 2πr²
= 4πr²

Question 2
1 / -0

Two cubes of edge 8 cm each are joined. What is the volume of the resultant solid?

A
256 cm³

B
512 cm³

C
1014 cm³

D
1024 cm³

Solution

Volume of each cube = (8 × 8 × 8) cm³
Volume of the resultant solid = 2 × 8 × 8 ×8 cm³ = 1024 cm³