We have been given that a vase has the shape of a rectangular prism. The inside of the vase is also a rectangular prism. We are asked to find the volume of the solid part of the vase .
The volume of solid part of the vase is equal to volume of rectangular vase minus volume of inside of the vase.
We know that volume of rectangular prism is length times width times height.
Therefore, the volume of the solid part of the vase is 1560 cubic cm.
Answer:
Step-by-step explanation:
a). Let the number of spoons = x
And number of forks = y
Total number of spoons and forks bought by Perry = 10
x + y = 10 --------(1)
Cost of one spoon = $5
Cost of one fork = $3
Therefore, total cost of x spoons and y forks = $(5x + 3y)
5x + 3y = 42 -------(2)
b). Now we can convert these equations into the slope-intercept form.
x + y = 10 ⇒ y = -x + 10
Table for input output values,
x 2 4 6
y 8 6 4
5x + 3y = 42
3y = -5x + 42
y =
x 0 3 6
y 14 9 4
Point of intersection of these lines will be (6, 4).
Step-by-step explanation:
The volume of a cube is
where a is the side length,
Note: If you want to remember this formula, know that a cube is basically a bunch of squares stacked on one another vertically and horizontally
The area of a square with side length a, is
If we multiply that by the height of the cube, which is a.
That is the easy way to derive the formula of the volume of a cube.
Back on track, we know the volume so we must solve for a.
1.
Assuming you took algebra, to isolate the variable a, we must undo it being raised to the third power.
To do this, we take the cube root of both sides
The cube root of 125 is 5 so
5 cm
2.
2 ft
3.
7 yd
4.
10 mm
5.
12 in. or 1 ft
6.
1 m