Question

Suppose you have two similar rectangular prisms. The volume of the smaller rectangular prism is 343 in^3 and the volume of the larger rectangular prism is 1,000 in^3. What is the scale factor of the smaller figure to the larger figure?

3:5
1:3
7:10
18:25

Answer 1

Surface Area and Volume Unit Test

1. 14

2. hexagon

3. 224 m2

4. 896 pi in.2

5. 405 in.2

6. 49,009 m2

7. 4,910.4 yd3

8. 3.6 in

9. 4,608 cm3

10. 1,296 cm3

11. 1,442.0 yd3

12. 2,158 m2

13. no

14. 7 : 10

15. 100 m2

16. one-point perspective

17. 18.3 cm

Answer 2

In this item, we get the ratio of the volume of the smaller figure to the larger figure. That is,
volume of smaller figure: volume of larger figure
343:1000
Then, we get the cube root of the ratio,
7:10

Thus, the answer is the third choice.