Answer:
Step-by-step explanation:
The composite figure consists of a square prism and a trapezoidal prism. By adding the volume of each, we obtain the volume of the composite figure.
The volume of the square prism is given by 
, where 
is the base length and 
is the height. Substituting given values, we have: 
The volume of a trapezoidal prism is given by 
, where 
and 
are bases of the trapezoid, 
is the length of the height of the trapezoid and is the height. This may look very confusing, but to break it down, we're finding the area of the trapezoid (base) and multiplying it by the height. The area of a trapezoid is given by the average of the bases (
) multiplied by the trapezoid's height ().
Substituting given values, we get:
Therefore, the total volume of the composite figure is 
(ah, perfect)
Alternatively, we can break the figure into a larger square prism and a triangular prism to verify the same answer:
57/61 is in simplest form
Answer:
40.5 centimeters.
Step-by-step explanation:
Given:
The width of the prism is 3 centimeters.
The width of the prism is 1/3 of its length.
The height of a rectangular prism is half its width.
To find:
<u>Volume of a rectangular prism = ?</u>
Solution:
Width of the prism = 3 cm
As given, height of a rectangular prism is half its width.
height of a rectangular prism = 
Similarly, as given, the width of the prism is 1/3 of its length.
Width of the prism = 
By multiplying both sides by 3
Thus, length of prism = 9 cm
Now, as we know:
Therefore, the volume of a rectangular prism is 40.5 centimeters.
Answer:
Nyeh?
- Himiko Yumeno
Step-by-step explanation:
Twice of w is 2w and 2 more than 2w is 2w + 2,
So your answer is 2w + 2
Hope this helped!
