Answer:
The volume of the prism is <u>320 15/16 inches³</u>.
Step-by-step explanation:
Given:
The length of the base of a rectangular prism is 9 7/8.
The width of the prism is 8 1/8.
And the height is 4 inches.
Now, to find the volume of the prism.
(Length) <em> l = 9 7/8 = 79/8 inches.</em>
(Width) <em> w = 8 1/8 = 65/8 inches</em>.
(Height) <em>h = 4 inches</em>.
So, by putting the formula to get the volume:
Volume = w×h×l.
<em>Volume = 320 15/16 inches³.</em>
Therefore, the volume of the prism is 320 15/16 inches³.
We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.
Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.
11 x 10 x 2 = 220
Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320
Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.
9.7 x 16 x 2 = 310.4
Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88
Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
Answer:
Its B
Step-by-step explanation:
The answer is 1/4 because 7/12 is larger than 1/2 but 1/4 is 2x smaller
