The answer to Q1 along with an explanation is shown in the picture;
Having a look at all the questions, they are all essentially the same type so can all be solved similarly;
So by following the method and explanation, you should be able to do the rest of the questions.
Answer:
Yes, he will have enough 3 over 8 ft pieces for his class.
Step-by-step explanation:
Given:
Number of wood required = 22
Length of each wood, 
Total length of the board, 
Therefore, the number of woods that can be made using the given board is given as:
So, he can make 24 woods of length 
using the 9 ft board. But he has to make only 22 pieces.
Therefore, he has enough of the wood to make the required number of pieces.
Answer:
100 x 100 x 100 number cubes
Step-by-step explanation:
It's basically a volume problem. The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube. Or in other words the volume is 1,000,000. Now how do we find the volume of a cube? length times width times height, and witht he cubes each of those are the same so we can call them all x.
Now we just set up the equation where we have the equation whatever one side is times itself three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000. Now you just take the cube root of 1,000,000 which gets us 100. so the length, width and height are 100 small cubes.
Answer:
volume = 682.67π units³ or 2143.58 units³
Step-by-step explanation:
volume = 4/3πr³
volume = 4/3π8³ = 4/3π(512)
volume = 682.67π
Answer:
$45.8
Step-by-step explanation:
32.06 / 14= 2.29
2.29x20=45.8
