If a rectangular prism with a width of 3 inches, a base of 6 inches, and a height of 5 inches is similar to a rectangular prism with a base of 18 inches and a width of 9 inches, what is the height of the second prism?
15 inches
100
Simplify the following scale factor. 1,035,170,769:7,246,195,380
1:7
100
Kristin has a picture that is 8 in long and 5 in tall. She wants to make it larger, in order to fit a frame that is 10 in tall. How long will the second picture be?
16 in
100
If the scale factor of two similar solids is a:b, what is the ratio of their corresponding volumes?
a cubed: b cubed
100
When is our next Unit Test?
Monday, Nov 6th
200
One cone has a height of 30 inches and a radius of 20 inches. Another cone has a diameter of 80 inches. What must the height of the second cone be in order for the two to be similar?
60 inches
200
What is the scale factor of two prisms with volumes 1728 ft cubed and 4096 ft cubed? Give the scale factor of the smaller pyramid to the larger pyramid in simplest form.
3:4
200
Suppose you are making a three layer cake. You want every layer to be a triangular prism with dimensions that are all 1/3 the dimensions of the layer below it. If the length, height and width of the bottom layer are 81 cm, 27 cm, and 81cm respectively, what are the dimensions of the top layer?
9 cm, 3 cm, and 9 cm
200
If the scale factor of two similar solids is a:b, what is the ratio of their corresponding areas?
a squared:b squared
200
How many Maths students does Mr. Rick teach?
83
300
If the ratio of two pyramids' surface areas is 22:88, what is the ratio of their volumes in simplest form?
1:8
300
The scale factor of two cones is 42,852:21,426. What is the ratio of their surface areas? Give both the initial answer and the scale factor in simplest form.
1,836,293,904:459,073,476 or 1:4
300
A bottle that is 10 in high holds 34 oz of water. Suppose you made a giant water bottle. The two bottles are similar, and have a scale factor of 1:48. How many ounces of water can the larger bottle hold?
3,760,000 oz
300
If the ratio of two similar solids' volumes are 125:343, what is the ratio of their corresponding areas?
25:49
300
A store sells balls of yarn in two different sizes. The diameter of the larger ball is twice the diameter of the smaller ball. If the balls of yarn cost $7.50 and $1.50, respectively, which ball of yarn is the better buy?
The larger ball is the better buy
400
One cylinder has a height of 12 cm and a circumference of 37.68 cm. Another has a height of 10 cm. What must be the radius of the second cylinder in order for the two to be similar?
5 cm
400
If one square prism has a volume of 1 ft cubed, and a similar square prism has a volume of 27 inches cubed, what is the scale factor of the larger prism to the smaller prism?
3:1
400
Suppose you have a cubic suitcase. Now suppose, for whatever reason, you want to build your dog a matching suitcase. If your suitcase has a length of 30 cm, and the scale factor of your suitcase to your dog's is 5:1, what is the surface area of your dog's suitcase?
216 cm squared
400
What is the simplified ratio of the surface areas of two pyramids whose ratio of the volumes is 6:48?
1:4
400
The heights of two similar coffee mugs are 3.5 inches and 4 inches. The larger mug holds 12 fluid ounces. What is the capacity of the smaller mug?
about 8.04 fl oz
500
A square pyramid with a base of 0.52346 cm and a height of 2.346 cm is similar to another pyramid with a height of 0.4692 cm. What is the measure of the second pyramid's base? Do not round.
0.104692 cm
500
Two prisms are similar. One prism has a surface area of 20,958,084 cm squared, and another has a surface area of 5,239,521 cm squared. What is the scale factor of the smaller prism to the larger prism?
1:2
500
The lateral areas of two similar paint cans are 1019 cm squared and 425 cm squared. The volume of the smaller can is 1,157 cm cubed. What is the volume of the larger can?
About 4,295 cm cubed
500
One rectangular prism has a base of 2m, a width of 1m, and a height of 3m. Another has a base of 4m, a width of 2m, and a height of 6m. Are they similar? If so, give their scale factor, ratio of the surface areas, and ratio of the volumes.
Yes, 1:2, 1:4, and 1:8
500
Two similar punch bowls have a scale factor of 3:4. The amount of lemonade to be added is proportional to the volume. How much lemonade does the smaller bowl require if the larger bowl requires 64 fluid ounces?