Answer:
Above your sheet, they give you formulas for the rectangular prism.
Method one;
V = L x W x H
Where "L" is length, "W" is width, and "H" is height.
Method 2;
V = B x H
Where "B" is the area of the base, and "H" is the height.
Now let's apply these formula to your questions:-
(Using method 2 for most of these problems)
1. If we look for the area of the base, we can see that 2 is the width and 4 is the length, so we would need to multiply those two to get the area of the base (2 x 4) = 8.
Now the height is 3.
So we plug this into our formula,
V = B x H
V = 8 x 3
V = 24 cubic feet
2. If we look at this question, we can see that this is a cube, meaning that all lengths are the same. To make this easier, we can use method 1 and just multiply the given lengths;
V = L x W x H
V = 4 x 4 x 4
V = 64 cubic inches
3. If we look for the area of the base, we can see that 5 is the width and the length is 20, so we would need to multiply those two to get the area of the base (5 x 20) = 100.
The height is 5.
So we plug this into our formula;
V = B x H
V = 100 x 5
V = 500 cubic yards
4) If we look for the area of the base, we can see that 3.2, if i'm correct, is the width and 5.4 is the length, so we would need to multiply those two to get the area of the base (3.2 x 5.4) = 17.28.
The height is 1.9.
So we plug this into our formula;
V = B x H
V = 17.28 x 1.9
V = 32.832, 32.83 cubic centimeters