The volume of the prism = 14 ft³
Solution:
Number of cubes in the prism = 1750
Edge length of each cube (a) = 
ft
<u>To find the volume of each cube:</u>
Volume of each cube = a³
Volume of each cube 
<u>To find the volume of the prism:</u>
Volume of the prism = Volume of each cube × Number of cubes
= 14 ft³
The volume of the prism = 14 ft³
The answer is B, 75 inches. This is because for every for there is 12 inches. So, if you plug in 6.25 where the x is, it is saying there are 12 inches per 6.25 feet. So multiply 12 by 6.25 to get 75, your answer, B. Hope this helps
Answer:
3 inches
Step-by-step explanation:
(14+2x) × (15+2x) = 2(14×15)
210 +30x +28x + 4x² = 420
4x² + 58x - 210 = 0
2x² + 29x - 105 = 0
2x² + 35x - 6x - 105 = 0
x(2x + 35) - 3(2x + 35) = 0
(x - 3)(2x + 35) = 0
x = 3, -35/2(not possible)
To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.
We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
Since the blue band surrounds the purple square on both sides, the length of the blue square is x+2(5)=x+10 inches.
The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.
Therefore
Area of band
[recall
or 20(x+5) if you wish.
The answer is the third image.
It shows the original image reflected across the y-axis.
Hope this helps! :)
