It's hard to determine the correct answer without a visual image or specific dimensions given for the prism. However, if we assume that the prism is a rectangular solid composed of cubes with side length 1/5 inch, we can use the formula for the volume of a rectangular solid:
V = lwh
where V is the volume, l is the length, w is the width, and h is the height.
If we let the length, width, and height of the prism be x, y, and z respectively, then we can express them in terms of the number of cubes that make up each dimension. For example, if the prism is composed of 5 cubes in length, then x = 5(1/5) = 1 inch. Similarly, if the prism is composed of 12 cubes in width and 15 cubes in height, then y = 12(1/5) = 2.4 inches and z = 15(1/5) = 3 inches.
Therefore, the volume of the prism is:
V = (1)(2.4)(3) = 7.2 cubic inches
None of the answer choices provided match this calculation, so we cannot determine the correct answer without more information.
The prism below is made of cubes which measure 1/5 of an inch on one side. What is the volume of the prism?
A.
25/6 cu in
B.
6/25 cu in
C.
12/25 cu in
D.
3 cu in (my answer)
Can someone please check my answers and help me?
5 answers
For this question, if the answer is not a whole number, enter it as a fraction using / as the fraction bar.
Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time.
(truck) 4 1/2 ft
The base of the container has an area of 50 1/4 square feet.
The amount of cardboard Rajek can fit in the container at one time is_____
cubic feet.
Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time.
(truck) 4 1/2 ft
The base of the container has an area of 50 1/4 square feet.
The amount of cardboard Rajek can fit in the container at one time is_____
cubic feet.
We need to find the volume of the container in cubic feet, given the base area. Since the base area is given as 50 1/4 square feet, we can find the length and width of the base using the formula for the area of a rectangle:
area = length x width
50 1/4 = length x width
Next, we need to convert the dimensions of the container from feet to inches, since the thickness of the cardboard is given in inches.
4 1/2 feet = 54 inches
Now we can find the volume of the container in cubic inches:
volume = base area x height
volume = 50 1/4 x 54
volume = 2712 cubic inches
Finally, we need to convert the volume to cubic feet by dividing by the number of cubic inches in a cubic foot:
2712 cubic inches ÷ (12 inches/foot)^3 ≈ 15.68 cubic feet
Therefore, the amount of cardboard Rajek can fit in the container at one time is approximately 15.68 cubic feet. We need to enter this as a fraction, so the answer is 15 11/25.
area = length x width
50 1/4 = length x width
Next, we need to convert the dimensions of the container from feet to inches, since the thickness of the cardboard is given in inches.
4 1/2 feet = 54 inches
Now we can find the volume of the container in cubic inches:
volume = base area x height
volume = 50 1/4 x 54
volume = 2712 cubic inches
Finally, we need to convert the volume to cubic feet by dividing by the number of cubic inches in a cubic foot:
2712 cubic inches ÷ (12 inches/foot)^3 ≈ 15.68 cubic feet
Therefore, the amount of cardboard Rajek can fit in the container at one time is approximately 15.68 cubic feet. We need to enter this as a fraction, so the answer is 15 11/25.
You made me get a 0% I hate ai
I apologize if my response was unclear or incorrect. As an AI language model, I strive to provide accurate and helpful responses to the best of my abilities. However, I am not perfect and sometimes my responses may not fully address the question or may contain errors. If there is a specific question or topic you need help with, please let me know and I will do my best to assist you.
13 answers