A rectangular prism has a width of 92 ft and a volume of 240 ft3. Find the volume of a similar prism with a width of 46 ft. Round to the nearest tenth, if necessary.
30 ft3
40 ft3
60 ft3
120 ft3
can someone please help me. I'm having trouble working this out.
Twig has the right answers but in the wrong place, except for 2 and 6. Just so everyone know.
1. D
2. A
3. A
4. A
5. B
6. A
7. C
since the new prism has dimensions 1/2 the old one, its volume is 1/8 the old volume.
The answer is 60ft3.
It's 30ft o put 60 and it's WRONG connection answer is 30
Connections Lesson 10 Unit 4 Similar Solids Test
1. B
2. A
3. C
4. D
5. A
6. A
7. A
Light is right TRUST him wish I did.
To find the volume of a similar prism, we need to understand the concept of similarity. Two objects are similar if they have the same shape but possibly different sizes. For prisms to be similar, their corresponding sides (length, width, and height) must be proportional.
In this case, we have a rectangular prism with a width of 92 ft and a volume of 240 ft³. To find the volume of a similar prism with a width of 46 ft, we need to calculate the ratio of the volumes using the ratio of the corresponding sides.
The ratio of the widths is 46/92 = 0.5. Since volume is proportional to the cube of the side length, we square the ratio of the widths to get a ratio for the volumes: 0.5² = 0.25.
Now, we multiply the ratio of the volumes (0.25) by the given volume (240 ft³) to find the volume of the similar prism:
Volume of similar prism = 0.25 * 240 ft³
= 60 ft³ (rounded to the nearest tenth)
Therefore, the volume of the similar prism with a width of 46 ft is 60 ft³.