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Surface areas and volumes formulae

Total questions: 14

Worksheet time: 8mins

Name
Class
Date
1.

Volume of a cuboid is

a)

l x b x h

b)

2(lb + bh + hl)

c)

2(l + b)h

d)

l3

2.

Total Surface Area of a cuboid is

a)

lbh         

b)

2(lb + bh + hl)   

c)

2(l + b)h

d)

lb + bh + hl

3.

Surface area of a rectangular open box is

a)

2(lb + bh + hl)

b)

2(l + b)h + lb

c)

2(l + b)h - lb

d)

lb + bh + hl

4.

The longest rod that can be placed in a room whose length, breadth and height are l, b and h respectively is

a)

l2 +b2 + h2\sqrt[]{l^2\ +b^2\ +\ h^2}  

b)

lbh\sqrt[]{lbh}  

c)

l + b + h\sqrt[]{l\ +\ b\ +\ h}  

d)

3(l + b +h)\sqrt[]{3}\left(l\ +\ b\ +h\right)  

5.

Lateral surface area of a cube of side 'a' is

a)

6 a2a^2  

b)

4a24a^2  

c)

8a28a^2  

d)

12a212a^2  

6.

Volume of a right circular cylinder is

a)

πr2h\pi r^2h  

b)

2πrh2\pi rh  

c)

4πr2h4\pi r^2h  

d)

2πr2h2\pi r^2h  

7.

Curved surface area of a cylinder is

a)

2πrh2\pi rh  

b)

4πr24\pi r^2  

c)

2π(r+h)2\pi\left(r+h\right)  

d)

πr2\pi r^2  

8.

Volume of a cone

a)

πr2hl\pi r^2hl  

b)

13πr2h\frac{1}{3}\pi r^2h  

c)

πrl\pi rl  

d)

πr2l\pi r^2l  

9.

Volume of a sphere

a)

4πr24\pi r^2  

b)

πr2\pi r^2  

c)

πr3\pi r^3  

d)

43πr3\frac{4}{3}\pi r^3  

10.

Volume of a hemisphere is

a)

23πr2\frac{2}{3}\pi r^2  

b)

23πr3\frac{2}{3}\pi r^3  

c)

43πr3\frac{4}{3}\pi r^3  

d)

43πr2\frac{4}{3}\pi r^2  

11.

TSA of a hemisphere is

a)

πr2\pi r^2  

b)

4πr24\pi r^2  

c)

3πr23\pi r^2  

d)

6πr26\pi r^2  

12.

If we change the shape of an object from a sphere to a cylinder, then the volume of cylinder will

a)

Increase

b)

Decrease

c)

Remains unchanged

d)

Doubles

13.

If a cylinder is covered by two hemispheres shaped lid of equal shape, then the total curved surface area of the new object will be

a)

4πrh + 2πr24\pi rh\ +\ 2\pi r^2  

b)

4πrh − 2πr24\pi rh\ -\ 2\pi r^2

c)

2πrh + 4πr22\pi rh\ +\ 4\pi r^2

d)

4πrh + 4πr24\pi rh\ +\ 4\pi r^2

14.

A right circular cylinder of radius r cm and height h cm (h>2r) just encloses a sphere of diameter

a)

r cm 

b)

h cm 

c)

2h cm

d)

2r cm