Answer:
The volume of the composite figure is:
Step-by-step explanation:
To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.
<em>VOLUME OF THE CUBE.
</em>
Finding the volume of a cube is actually simple, you only must follow the next formula:
- Volume of a cube = base * height * width
So:
- Volume of a cube = 6 ft * 6 ft * 6 ft
- <u>Volume of a cube = 216 ft^3
</u>
<em>VOLUME OF THE PYRAMID.
</em>
The volume of a pyramid with a square base is:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the base.
</em>
<em>h = height.
</em>
How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:
- Volume of a pyramid = 1/3 36 ft^2 * 8 ft
- <u>Volume of a pyramid = 96 ft^3
</u>
Finally, we add the volumes found:
- Volume of the composite figure = 216 ft^3 + 96 ft^3
- <u>Volume of the composite figure = 312 ft^3</u>
Answer:
3 in
Step-by-step explanation:
Apparently, we are to assume that the height and width are proportional:
height/width = (6 in)/(8 in) = (new height)/(4 in)
Multiplying by 4 in will tell us the new height:
new height = (4 in)(6/8) = 3 in
The reduced frame will be 3 inches tall.
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Alik [6]
Given:
The expression is:
The given values are 
.
To find:
The value of the given expression for the given values.
Solution:
We have,
After substituting , we get
Therefore, the value of the given expression is 21.
I am only guessing that you mean:
(n-2)/-3<7 if so, multiply both sides by -3 (and reverse the direction of the inequality sign because of negative mulitplication!)
n-2>-21 add 2 to both sides
n>-19
