2.
The volume of a cube with a side length of 1.5 in is ________ in cubed.
3.375 in cubed.
3.
What is the height, x, of the rectangular prism if the volume is 750 cm cubed and the width and length is 25 by 5 by ______=750
The height, x, would be 6 cm.
Explanation:
The formula for the volume of a rectangular prism is:
V = l x w x h
where l is the length, w is the width, and h is the height.
In this problem, we are given that:
V = 750 cm cubed
l = 25 cm
w = 5 cm
We can use these values and the formula to solve for h:
750 = 25 x 5 x h
750 = 125h
h = 750/125
h = 6 cm
Therefore, the height of the rectangular prism is 6 cm.
To calculate the volume of a cube, you need to raise the length of one side to the power of 3. In this case, the side length is 1.5 inches.
So, to find the volume of the cube:
Volume = (side length)^3
Plugging in the given side length:
Volume = (1.5 in)^3 = 1.5 in × 1.5 in × 1.5 in = 3.375 in^3
Therefore, the volume of the cube with a side length of 1.5 inches is 3.375 cubic inches.