Answer:
The volume of the irregular figure would be 144
.
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is
, where
,
, and
, represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108
, and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36
. So the volume of the entire irregular figure would be 108 + 36 = 144
.
From the figure the given line passes through the points (0, 0) and (-4, 8).
Recall that the equation of a straight line is given by

Thus, The equation of the given figure is given by
Answer:
The width of the sandbox is
.
Step-by-step explanation:
Given,
Area of the sandbox = 
Length = 
Solution,
Let the width of the sandbox be 'w'.
Since the sandbox is in shape of rectangle.
So we use the formula of area of rectangle.

On substituting the given values, we get;

By cross multiplication method, we get;

Hence The width of the sandbox is
.
Answer:
1st one: (x-2)(x+10)
2nd one: (x-7)(x-3)
Step-by-step explanation: