Free Printable surface areas and volumes

1.

The formula to find surface area of a cuboid of length (l), breadth (b) and height (h) is:

a)

lb+bh+hl

b)

2(lb+bh+hl)

c)

2(lbh)

d)

lbh/2

2.

The surface area of a cube whose edge equals to 3cm is:

a)

62 sq.cm

b)

30 sq.cm

c)

54 sq.cm

d)

90 sq.cm

3.

The surface area of cuboid-shaped box having length=80 cm, breadth=40cm and height=20cm is:

a)

11200 sq.cm

b)

13000 sq.cm

c)

13400 sq.cm

d)

12000 sq.cm

4.

If the radius of a cylinder is 4cm and height is 10cm, then total surface area of cylinder is:

a)

440 sq.cm

b)

352 sq.cm.

c)

400 sq.cm

d)

412 sq.cm

5.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm2. The diameter of the base is:

a)

2cm

b)

3cm

c)

4cm

d)

6cm

6.

Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. The curved surface area is:

a)

150 sq.cm

b)

165 sq.cm

c)

177 sq.cm

d)

180 sq.cm

7.

The surface area of a sphere of radius 14 cm is:

a)

1386 sq.cm

b)

1400 sq.cm

c)

2464 sq.cm

d)

2000 sq.cm

8.

The radii of two cones are in the ratio of 2:3 and their heights are in the ratio of 7:3. The ratio of their volumes is

a)

20:9

b)

28:9

c)

29:29

d)

None of the above

9.

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the Volume of the cylinder. Assume π=22/7

a)

144 cm³

b)

180 cm³

c)

176 cm³

d)

None of the above

10.

Formula for curved surface area of cone is

a)

$2\pi r$

b)

$2\pi h$

c)

$\pi rl$

d)

$\pi rh$

11.

Formula for curved surface area of cylinder

a)

$2\pi r^2h$

b)

$2\pi rh$

c)

$2\pi r^2h$

d)

$2\pi r$

12.

slant height, $l=$

a)

$r+h$

b)

$r^2+h^2$

c)

$\sqrt{r+h}$

d)

$\sqrt{r^2+h^2}$

13.

Formula for calculating total surface area of cone is

a)

$\pi r\left(l+r\right)$

b)

$2\pi\left(l+r\right)$

c)

$2\pi\left(h+r\right)$

d)

$\pi\left(l+r\right)h$

14.

Formula for volume of cone is

a)

$\pi r^2h$

b)

$\frac{1}{3}\pi rh$

c)

$\frac{1}{3}\pi r^2h$

d)

$\pi rh^2$

15.

Formula for calculating volume of hemisphere is

a)

$\frac{4}{3}\pi r^3$

b)

$\frac{2}{3}\pi r^2$

c)

$\frac{4}{3}\pi r^2$

d)

$\frac{2}{3}\pi r^3$

16.

A plastic box 5m long,4 m wide and 3 m deep,is to be made.Ignoring the thickness of the plastic sheet, determine the area of the sheet required for making the box.

a)

74 sqm

b)

84 sqm

c)

94 sqm

d)

104 sqm

17.

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long,10 cm wide and 8 cm high.Which box has greater lateral surface area

a)

cuboidal box

b)

cubical box

18.

A conical tent is 10 m high and the radius of its base is 24 m. its slant height is

a)

23 m

b)

25 m

c)

26 m

d)

27 m

19.

volume of a sphere whose surface area is 154 $cm^2$ .

a)

$169\ \frac{2}{3}\ cm^3$

b)

$159\ \frac{2}{3}\ cm^3$

c)

$179\ \frac{2}{3}\ cm^3$

d)

$189\ \frac{2}{3}\ cm^3$

20.

A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?

a)

153000 L

b)

135000 L

c)

103500 L

d)

100350 L

21.

The curved surface area of a right circular cylinder is

4.4\ m^2

. If the radius of its base is 0.7 m then find its height.

a)

2 m

b)

1 m

c)

3 m

d)

4 m

surface areas and volumes

Total questions: 21

Worksheet time: 11mins

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