Question

Please help.

1) What is the volume of the given prism? Round the answer to the nearest tenth.
2)What is the height of the cylinder? The figure is not drawn to scale.

Answer 1

7. 4910.4

8. 3.6

Explanation:

To find the volume of this prism, you first need to find the area of the triangular base. Since it is an equilateral triangle, the formula for its area is simply
`(√(3))/(4)a^2`, which in this case is
`(√(3))/(4)\cdot 18^2\approx 140.3`. Multiplying this by the height of 35, you get about 4910.4 cubic yards. For the cylinder, the formula for the volume is
`V=\pi r^2 h`. Plugging in your known values, you get:

`282.7=\pi \cdot 5^2 \cdot h`

`h\approx 3.6` inches

Hope this helps!

Answer 2

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