Free Printable Unit 3 : Geometric Applications of Exponents

Worksheets

Unit 3 : Geometric Applications of Exponents

Total questions: 21

Worksheet time: 1hrs 20mins

Name

Class

Date

Find h

(a)

The Pythagorean Theorem is $b^2+c^2=c^2$

false

true

Side c on a right triangle is ALWAYS the longest.

true

false

_{^{Find the missing side}}

6.4

6.2

The Pythagorean Theorem ONLY works on which triangle?

obtuse

scalene

isosceles

right

what is the volume of a sphere if the radius is 16cm

17158.28 km

17125.8 cm

17157.28 cm

1824.6 cm

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

7.5 in

12.4 in

13.6 in

14.3 in

Solve for x.

38.9

40.2

45.6

In a computer catalog, a computer is listed as being 13 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?

8in

23 in

16.4 in

10.

Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

16.4 cm³

31.7 cm³

31.4 cm³

22.0 cm³

11.

Find the volume of the Sphere

184 m³

392 m³

523.6 m³

629.4 cm³

12.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone.

50.24 ft³

150.72 ft³

not here

192.65 ft³

13.

Find the volume of the figure.

150.72 cm³

75.36 cm³

452.16 cm³

151 cm³

14.

One container of popcorn in a movie theater is cone-shaped and has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does 3 containers hold? Round to the nearest tenth.

502.4 in³

167.5 in³

251.2 in³

83.7 in³

15.

What is the distance between the two points?

6.3

6.5

6.7

16.

If the length of a toothpick is 5.4 cm and the height of the box that its in is 4 cm,(the toothpick is diagonal in the box) what is the approximate width of the base?

7 cm

5 cm

3 cm

2 cm

17.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

15.6

6.6

18.

what is the surface area of the cone if the height is 12?

282.74 cm

242.8 cm

67 cm

139.9 cm

19.

What is the diameter?

20.

Is the red line a radius or diameter of the circle?

Radius

Diameter

21.