Math 7/Unit 10 Practice Test: Measurement: Three-Dimensional Figures

Name

Date

Definitions (1-3)

1)Face

2)Cylinder

3)Net

4)A triangular prism has _____ vertices, _____ edges, and _____ faces.

5)List 2 solid figures that are not polyhedrons.______

______

6)The Luxor is a famous hotel on Las Vegas Boulevard. It has 1 square base and 4 triangular faces. What is the most specific name for the solid figure?

______

7)In general, the volume of a solid with two congruent bases is found by multiplying the area of the base times the height.

True/False

8)Find the volume and surface area of the prism.

Volume = ______

Surface area = ______

9)Find the volume of a rectangular prism with length 12 inches, width 5 inches and height 10 inches.

______

10) A triangular prism has a right triangle as its base. The hypotenuse of the triangle is 5 inches and one leg measures 3 inches.

A)Find the measure of the missing side of the base.

______

B)Find the volume of the prism if it is 1 foot tall.

______

11) You are given the diameter of a cone, what other information is required to determine the volume?

______

12) A paper cup shaped like a cone is used to fill a cylindrical can with the same height and radius. How many times must you empty the cone shaped cup into the cylindrical can to fill the can?

______

13)Find the volume of the figure to the nearest unit. (Use 3.14 for )

______

14) When wrapping a birthday present for your wonderful math teacher, ______

which is the most important measurement to consider?

a)Weight

b)Volume

c)Perimeter

d)Surface Area

15)A cube has side lengths equal to 5 feet. Find the surface area of the cube.

______

16) Find the surface area of the cylinder formed by the net, to the nearest tenth. (Use 3.14 for )

S = 2r2 + 2rh

______

17) Can two or more solids have the same volume when they have different surface areas? Draw and label diagrams to support your answer. Show all your work.

______

18)Find the surface area of the prism.

______

19) The surface area of box A is 11 in.2. What is the surface area of a similar box B that is larger by a scale factor of 5?

Surface area of figure B = Surface area of figure A (scale factor)2

______

20) The volume of fish tank A is 400 cm3. What is the volume of a similar tank B that is smaller by a scale factor of ½?

Volume of figure B = Volume of figure A (scale factor)3

______

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Math 7/ Practice TestUnit 10: Measurement: Three-Dimensional Figures