This is good information, but the question part is missing. Put the question in the comments and I'll try my best to help!
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
To find volume of a rectangular prism, you simply need to multiply length times width times height. We know from the text that our block of ice is 3 meters long, 1.5 meters wide, and 2 meters high. So all we need to do is multiply:
3 * 1.5 = 4.5
4.5 * 2 = 9
The block of ice has a volume of 9 cubic meters.
Choice C is your correct answer.
Hope that helped! =)
9514 1404 393
Answer:
-2
Step-by-step explanation:
-8^(1/3) = -(2^3)^(1/3) = -(2^(3/3)) = -2