Math A

Practice with Analyzing in 3D

 

Answer the following questions dealing with 3-dimensional figures.

 

1.

The figure to the left is a cube.  Find the number of degrees in angle BEG.

Choose:

45º   
60º 
90º 

 

 

2.

This figure represents a piece of Limburger cheese that is in the shape of a right triangular prism.  Find the minimum amount of aluminum foil needed to wrap it up completely.

Choose:

18 sq. in.
24 sq. in.
36 sq. in.  
48 sq. in.

 

 

3.

Stephanie has an aquarium that contains 150 gallons of water.  Unfortunately her fish have developed a parasite called "ick" which appears as white spots on the fish.  To eliminate the parasite, she needs to add 1 tablespoon of salt per 5 gallons of water in the aquarium.  How many ounces of salt should Stephanie add to the fish tank?
(2 tablespoons = 1 oz.)

Choose:

5 oz. 
15 oz.
30 oz.
45 oz.  

 

 

4.

At the age of 81, Mr. Luke Roberts decided to start collecting string.  He has a spherical ball of string three feet in diameter.  On the assumption that one cubic inch of string weighs 0.03 pounds and the ball was solid string, how much does the ball weigh?

Choose:

73 lbs 
583.2 lbs
732.9 lbs 
2442.9 lbs 

 

 

5.


A delivery service limits the packages it will handle to those weighing less than 70 pounds.  In addition, the combined girth and length of the package must not exceed 108 inches.  The length is the longest dimension of the package, and the girth is the total distance around the package at its widest part, not including the length. 

a.  For a rectangular package with width W, length L, and height H, write a formula to compute the "combined girth and length".

 

b.  You want to ship a small telescope in a box that weighs 54 pounds, and has a length of 54 inches, a width of 10 inches, and a height of 11 inches.  Would this package pass the weight and size restrictions of the delivery service?

Problem adapted from CORD Algebra 1

 

 

6.

Assuming that blocks need not sit on top of one another, what is the minimum number of blocks in this stack?

Choose:

 10
11
12
15 

 

 

7.

Choose:

True
False 

If this 2-dimensional figure is assembled, it will form the 3-dimensional figure shown at the right.

 

 

 


Roberts