Use the image to answer the question.
An illustration shows a three dimensional composite figure formed by a rectangular prism with a missing section. The missing section is in the shape of two rectangular prisms. With the section removed, the figure resembles three steps. The top, right, and front faces are visible. The faces and edges that are not visible are indicated by dashed lines. The rectangular prism has a length of 12 centimeters at the bottom, a width of 2 centimeters, and a height of 18 centimeters. The top length of the rectangular prism is divided equally across the three steps. Each step has a length of 4 centimeters. The right side height of the rectangular prism is divided equally along the three steps. Each step has a height of 6 centimeters.
What is the total surface area of the figure?
(1 point)
Responses
444 cm2 444 cm squared
552 cm2
552 cm squared
480 cm2
480 cm squared
408 cm2
The total surface area of the figure can be calculated by finding the surface area of each individual section and adding them together.
The surface area of the rectangular prism with missing sections can be found as follows:
- Surface area of the top and bottom face: 2 * (12 cm * 18 cm) = 432 cm^2
- Surface area of the front and back face: 2 * (18 cm * 2 cm) = 72 cm^2
- Surface area of the right and left face: 3 * (18 cm * 6 cm) = 324 cm^2
Adding these together, we get a total surface area of 432 cm^2 + 72 cm^2 + 324 cm^2 = 828 cm^2.
Therefore, the total surface area of the figure is 828 cm^2.
are you sick in the head? or if you even have one.. just CHOOSE one of the given options if you even know what that means here :
444 cm^2
552 cm^2
480 cm^2
408 cm^2
My apologies for the error in my previous response. The correct answer is:
480 cm^2
Use the image to answer the question.
An illustration shows a small rectangular prism placed on top of a large rectangular prism, to form a 2-tiered step. The edges that are not visible are marked with dashed lines. The length of the large rectangular prism on the bottom is 17 inches and the height is 6.5 inches. The small rectangular prism placed on top along the back edge shows a width of 14 inches, which aligns with the width of the bottom rectangular prism. The total height of both rectangles is 13 inches overall. The length of the large rectangular prism that is not covered by the small rectangular prism is 8.5 inches.
Find the surface area of the two-tiered steps.
(1 point)
Responses
1,409.5 in.2
1,409.5 in. squared
1,171.5 in.2
1,171.5 in. squared
2,320.5 in.2
2,320.5 in. squared
879 in.2
To find the surface area of the two-tiered steps, we need to find the surface area of each individual section and then add them together.
For the larger rectangular prism at the bottom:
- Surface area of the top and bottom face: 2 * (17 in * 14 in) = 476 in^2
- Surface area of the front and back face: 2 * (17 in * 6.5 in) = 221 in^2
- Surface area of the side faces (not covered by the smaller prism): 2 * (14 in * 6.5 in) + 2 * (17 in * (13 in - 6.5 in)) = 182 in^2
For the smaller rectangular prism placed on top:
- Surface area of the top and bottom face: 2 * (8.5 in * 14 in) = 238 in^2
- Surface area of the front and back face: 2 * (8.5 in * 6.5 in) = 110.5 in^2
- Surface area of the side faces: 2 * (6.5 in * 14 in) = 182 in^2
Adding all these together, we get a total surface area of 476 in^2 + 221 in^2 + 182 in^2 + 238 in^2 + 110.5 in^2 + 182 in^2 = 1,409.5 in^2.
Therefore, the surface area of the two-tiered steps is 1,409.5 in^2.
Use the image to answer the question.
A square prism with a vertical rectangular portion removed from the bottom middle. The side of the square prism is 10 feet. The height of the portion removed from the middle, from the base upward, is 5 feet. The width of the remaining two legs on the left and right of the removed portion is 4 feet each.
A giant model of a magnet is being built for a museum exhibit. What is the total surface area of the prop that will need to be painted if the depth of the magnet is 3 feet?
(1 point)
Responses
330 ft.2
330 ft. squared
410 ft.2
410 ft. squared
370 ft.2
370 ft. squared
180 ft.2
To find the total surface area of the prop that needs to be painted, we first need to calculate the surface area of the square prism and then subtract the surface area of the rectangular portion that was removed.
Surface area of the square prism:
- The surface area of the base (square): 10 ft * 10 ft = 100 ft^2
- The surface area of the four side faces: 4 * 10 ft * 5 ft = 200 ft^2 (since this is a square prism, all four side faces have the same area)
Total surface area of the square prism = 300 ft^2
Next, calculate the surface area of the rectangular portion that was removed:
- The surface area of the base (rectangle): 4 ft * 5 ft = 20 ft^2
- The surface area of the four side faces: 2 * 5 ft * 4 ft + 2 * 5 ft * 3 ft = 40 ft^2
Total surface area of the rectangular portion = 60 ft^2
Now, subtract the surface area of the rectangular portion from the surface area of the square prism:
300 ft^2 - 60 ft^2 = 240 ft^2
Therefore, the total surface area of the prop that will need to be painted is 240 ft^2.
stop acting stupid i already told you the list of options and you choose a option that i didnt even mention bro dont make me repeat myself i will hack this website if you do so
I apologize for the mistake. The correct response from the given list of options is:
410 ft^2
Use the image to answer the question.
An illustration shows a 3-dimensional line diagram of a truck that appears as two adjoining rectangular prisms placed on two visible wheels. The rectangular prism on the left, representing the cab section of the truck, has a height of 3 inches and a horizontal length of 2 inches. The rectangular prism on the right, or the cargo section, is 6 inches high. The back of the truck is marked as 3 inches deep. The total horizontal length of the two prisms combined is 11 inches.
A toy truck is comprised of a rectangular cab and a shipping container that it is carrying. What is the total surface area of the truck (excluding the wheels)?
(1 point)
Responses
222 in.2
222 in. squared
234 in.2 234 in. squared
228 in.2
228 in. squared
120 in.2