Free Printable Herons Formula & Prism

1.

Using Heron's Formula, find the Area.

a)

55.1 km²

b)

60 km²

c)

61 km²

d)

73.2 km²

2.

What is the semi-perimeter?

a)

1/2 of the actual perimeter

b)

A circular object rotated 90 degrees on its axis

c)

My dog's name

d)

The distance around a semi truck multiplied by the square root of the perimeter

3.

If the sides of a triangle are 8, 8, and 8, what is the semi-perimeter?

a)

8

b)

12

c)

24

d)

3.14149

4.

One side of an equilateral triangle is 4 cm. The area of the triangle is _______

a)

16 √3 cm²

b)

8 √3 cm²

c)

4 √3 cm²

d)

√3 cm²

5.

The perimeter of an equilateral triangle is 60 cm. Find the length of its sides.

a)

30 cm

b)

20 cm

c)

15 cm

d)

10 cm

6.

The length of equal sides of an ISOSCELES RIGHT TRIANGLE is √2 cm. Find the length of its hypotenuse

a)

4 cm

b)

8 cm

c)

2 cm

d)

None of the above

7.

The area of ΔABC in which AB = AC = 4 cm and ∠A = 90° is ________

a)

8 cm²

b)

16 cm²

c)

10 cm²

d)

32 cm

8.

a)

₹ 3255

b)

₹ 32.55

c)

₹ 32550

d)

None of the above

9.

The perimeter of a triangle is 36cm and its sides are in the ration 3 : 4 : 5. Then the sides are____

a)

6 cm, 9 cm, 12 cm

b)

9 cm, 12 cm, 15 cm

c)

12 cm, 15 cm, 18 cm

d)

None of the above

10.

Which option is INCORRECT ?

Heron's Formula is used to find the area of triangle when

a)

Three sides are given

b)

Two sides & perimeter is given

c)

Height is given

d)

Two sides & semi perimeter is given

11.

One side of an equilateral triangle is 4 cm. The area of the triangle is _______

a)

16 √3 cm²

b)

8 √3 cm²

c)

4 √3 cm²

d)

√3 cm²

12.

The value of $249^2\ -\ 248^2$

a)

$1^2$

b)

477

c)

487

d)

497

13.

Area is measured in:

a)

feet

b)

centimeters

c)

square units

d)

inches

14.

If I wanted to fence in my backyard, that would be an example of:

a)

area

b)

perimeter

15.

The distance around an object is called the

a)

area

b)

perimeter

16.

What is the area of the rectangle?

a)

15 sq cm

b)

15 cm

c)

2

d)

16 cm

17.

What is the area of a square with a length of 4 cm?

a)

16 cm

b)

16 square cm

c)

8 cm

d)

8 square cm

18.

Which number represents the height?

a)

5

b)

4

c)

10

d)

19

19.

The area of a rectangle is 49 sq. in. One side length is 7 in. What is the other side length?

a)

9 in.

b)

10 cm.

c)

3 in.

d)

7 in.

20.

What is the area of the rhombus? Use the diagonals from above. $\frac{d1\cdot d2}{2}\$

a)

264 m²

b)

448 m²

c)

121 m²

d)

255 m²

21.

Find the area. d1= 8.5 d2= 10.2

$\frac{d1\cdot d2}{2}$

a)

43.86

b)

43.87

c)

43.88

d)

43.89

22.

Lateral surface area of Cuboid

a)

2h(l+b)

b)

2( lb+bh+hl )

c)

lbh

d)

$\sqrt[]{l^2+b^2+c^2}$

e)

lb

23.

Total surface area of Cuboid

a)

2h(l+b)

b)

2( lb+bh+hl )

c)

lbh

d)

$\sqrt[]{l^2+b^2+c^2}$

e)

lb

24.

Volume of of Cuboid

a)

2h(l+b)

b)

2( lb+bh+hl )

c)

lbh

d)

$\sqrt[]{l^2+b^2+c^2}$

e)

lb

25.

Diagonal of Cuboid

a)

2h(l+b)

b)

2( lb+bh+hl )

c)

lbh

d)

$\sqrt[]{l^2+b^2+c^2}$

e)

lb

26.

Area of the Base of Cuboid

a)

2h(l+b)

b)

2( lb+bh+hl )

c)

lbh

d)

$\sqrt[]{l^2+b^2+c^2}$

e)

lb

27.

Lateral surface area of Cube

a)

$a^2$

b)

$4a^2$

c)

$6a^2$

d)

$\sqrt[]{3.}a$

e)

$a^3$

28.

Total surface area of Cube

a)

$a^2$

b)

$4a^2$

c)

$6a^2$

d)

$\sqrt[]{3.}a$

e)

$a^3$

29.

Diagonal of cube

a)

$a^2$

b)

$4a^2$

c)

$6a^2$

d)

$\sqrt[]{3.}a$

e)

$a^3$

30.

Curved surface area of cylinder

a)

$2\pi rh$

b)

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

c)

$\pi r^2h$

d)

$\pi r^2$

31.

Total surface area of cylinder

a)

$2\pi rh$

b)

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

c)

$\pi r^2h$

d)

$\pi r^2$

32.

Volume of cylinder

a)

$2\pi rh$

b)

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

c)

$\pi r^2h$

d)

$\pi r^2$

33.

base area of cylinder

a)

$2\pi rh$

b)

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

c)

$\pi r^2h$

d)

$\pi r^2$

34.

Curved surface area of cone

a)

$\pi rl$

b)

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

c)

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

d)

$\pi r^2$

35.

Total surface area of cone

a)

$\pi rl$

b)

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

c)

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

d)

$\pi r^2$

36.

Volume of cone

a)

$\pi rl$

b)

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

c)

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

d)

$\pi r^2$

37.

Area of base of cone

a)

$\pi rl$

b)

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

c)

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

d)

$\pi r^2$

38.

Curved surface area of Sphere

a)

$3\pi r^2$

b)

$4\pi r^2$

c)

$2\pi r^2$

d)

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

39.

Total surface area of Sphere

a)

$3\pi r^2$

b)

$4\pi r^2$

c)

$2\pi r^2$

d)

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

40.

volume of Sphere

a)

$3\pi r^2$

b)

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

c)

$2\pi r^2$

d)

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

41.

Curved surface of Hemisphere

a)

$3\pi r^2$

b)

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

c)

$2\pi r^2$

d)

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

42.

Total surface of Hemisphere

a)

$3\pi r^2$

b)

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

c)

$2\pi r^2$

d)

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

43.

Volume of Hemisphere

a)

$3\pi r^2$

b)

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

c)

$2\pi r^2$

d)

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

44.

$In\ a\ Cone\ ,relation\ between\ l,\ h,\ r,\ is\$

a)

$l^2=\ h^2+r^2$

b)

$h^2=l^2+r^2$

c)

$r^2=l^2+h^2$

d)

$l^{ }=h+r$

45.

Lateral surface area of triangular prism of base "a" and height "h"

a)

$3ah$

b)

$3ah+\frac{\sqrt[]{3}}{2}a^2$

c)

$\frac{\sqrt[]{3}}{4}a^2h$

d)

$\frac{\sqrt[]{3}}{4}a^2$

46.

Total surface area of triangular prism of base "a" and height "h"

a)

$3ah$

b)

$3ah+\frac{\sqrt[]{3}}{2}a^2$

c)

$\frac{\sqrt[]{3}}{4}a^2h$

d)

$\frac{\sqrt[]{3}}{4}a^2$

47.

Volume of triangular prism of base "a" and height "h"

a)

$3ah$

b)

$3ah+\frac{\sqrt[]{3}}{2}a^2$

c)

$\frac{\sqrt[]{3}}{4}a^2h$

d)

$\frac{\sqrt[]{3}}{4}a^2$

48.

Area of base of triangular prism of base "a" and height "h"

a)

$3ah$

b)

$3ah+\frac{\sqrt[]{3}}{2}a^2$

c)

$\frac{\sqrt[]{3}}{4}a^2h$

d)

$\frac{\sqrt[]{3}}{4}a^2$

49.

Curved surface area of Right pyramid

a)

$\frac{1}{2}\ \left(perimeter\ of\ base\right)\ \times\ slant\ height$

b)

$Lateral\ surface\ area\ +Area\ of\ base$

c)

$\frac{1}{3}\times Area\ of\ base\ \times height$

d)

$Area\ of\ base\ \times height$

50.

Total surface area of Right pyramid

a)

$\frac{1}{2}\ \left(perimeter\ of\ base\right)\ \times\ slant\ height$

b)

$Lateral\ surface\ area\ +Area\ of\ base$

c)

$\frac{1}{3}\times Area\ of\ base\ \times height$

d)

$Area\ of\ base\ \times height$

51.

Volume of Right pyramid

a)

$\frac{1}{2}\ \left(perimeter\ of\ base\right)\ \times\ slant\ height$

b)

$Lateral\ surface\ area\ +Area\ of\ base$

c)

$\frac{1}{3}\times Area\ of\ base\ \times height$

d)

$Area\ of\ base\ \times height$

52.

Curved surface of Right prism

a)

$Perimeter\ of\ base\ \times Height$

b)

$Lateral\ surface\ area\ +2\left(Area\ of\ base\right)$

c)

$Area\ of\ base\ \times Height$

d)

$Area\ of\ base\ +perimeter\ of\ base\$

53.

Total surface of Right prism

a)

$Perimeter\ of\ base\ \times Height$

b)

$Lateral\ surface\ area\ +2\left(Area\ of\ base\right)$

c)

$Area\ of\ base\ \times Height$

d)

$Area\ of\ base\ +perimeter\ of\ base\$

54.

Volume of Right prism

a)

$Perimeter\ of\ base\ \times Height$

b)

$Lateral\ surface\ area\ +2\left(Area\ of\ base\right)$

c)

$Area\ of\ base\ \times Height$

d)

$Area\ of\ base\ +perimeter\ of\ base\$

55.

Ratio of volumes of cylinder and Cone

a)

$1:3$

b)

$3:1$

c)

$1:1$

d)

$\pi\ :3$

56.

Ratio of volumes of Cone and cylinder

a)

$1:3$

b)

$3:1$

c)

$1:1$

d)

$\pi\ :3$

57.

Shape of all the faces of cube are

a)

square

b)

rectangle

c)

trapezium

d)

rhombus

58.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

59.

Fill in the blanks:
1 m² = ___________ cm²

a)

100

b)

10000

c)

1000

d)

500

Herons Formula & Prism

Total questions: 59

Worksheet time: 40mins

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