Answer:
The largest number of pyramids she can make from 20 bars of chocolate is:
Step-by-step explanation:
Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:
- Volume of the bars = 6 in^3 * 20
- <u>Volume of the bars = 120 in^3</u>
Now, you must find the volume of each pyramid, using the next formula:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the square base.</em>
<em>h = height of the pyramid.</em>
How these values are given in the problem, we only replace the values in the formula:
- Area of a pyramid = 1/3 (1 in^2) * 2 in
- <u>Area of a pyramid = 2/3 in^3</u>
Finally, we divide the volume of the bars in the volume of each pyramid:
- Total number of pyramids = 120 in^3 / 2/3 in^3
- <u>Total number of pyramids = 180</u>
Answer:
Step-by-step explanation:
Vance can lift 0.9×103.5 pounds.
0.9 < 1, so you know that
0.9×103.5 < 103.5
Volume of cone=4034.66cm^3
Pi×r^2×h/3=4034.66
Pi×13×13×h=4034.66×3
22×13×13×h/7=4034.66×3
h=4034.66×3×7/13×13×22
h=45.57
So h=45.6cm
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain the formula to use
Using the cosine rule which states that:
STEP 2: Write the given sides
STEP 3: Find the value of z
Hence, the indicated length is 4.0
