Coordinate Geometry and Nets Unit Test
7 of 157 of 15 Items
Question
Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism. It shows four adjoining rectangles with shared sides stacked on top of one another. Two rectangles are joined on the left and right of the second rectangle from the top whose sides are denoted by dashed lines.
Which three-dimensional figure is represented by the net?
(1 point)
Responses
An illustration shows a cylinder with circular bases on two sides. The circumference of the circle not visible is shown as dashed lines.
Image with alt text: An illustration shows a cylinder with circular bases on two sides. The circumference of the circle not visible is shown as dashed lines.
An illustration shows a rectangular prism with six faces. The edges not visible are shown as dashed lines.
Image with alt text: An illustration shows a rectangular prism with six faces. The edges not visible are shown as dashed lines.
An illustration shows a triangular prism with a rectangular base. The edges not visible are shown as dashed lines.
Image with alt text: An illustration shows a triangular prism with a rectangular base. The edges not visible are shown as dashed lines.
An illustration shows a cube with six faces. The edges not visible are shown as dashed lines.
Image with alt text: An illustration shows a cube with six faces. The edges not visible are shown as dashed lines.
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The correct answer is: An illustration shows a rectangular prism with six faces. The edges not visible are shown as dashed lines.
Coordinate Geometry and Nets Unit Test
8 of 158 of 15 Items
Question
Use the image to answer the question.
An illustration shows the unfolded version of a prism comprising of 2 triangles and 3 rectangles. Dimensions are marked. There are three adjoining rectangles positioned horizontally. The first and third rectangles appear identical. The second rectangle in the middle is smaller and is labeled as 3 inches in length and 2 inches in width. The center rectangle shares its top and bottom sides with the bases of identical triangles. A side of the bottom triangle is labeled 6 inches. The top side of the third rectangle on the right is marked as a line connecting point upper A on the upper right vertex and point upper B on the upper left vertex. All the common sides are shown as dashed lines.
What is the length of AB ?(1 point)
in.
Based on the description provided, the length of AB is 3+3 = 6 inches.
Coordinate Geometry and Nets Unit Test
9 of 159 of 15 Items
Question
Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and bigger. The second and fourth are similar and smaller. The area of the second rectangle is labeled 24 square inches. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side. The area of the top rectangle is labeled as 54 square inches and the area of the third rectangle is labeled as 36 square inches.
What is the surface area of the rectangular prism?
(1 point)
in.2
To find the total surface area of the rectangular prism, we need to find the area of each face and then sum them up.
1. The area of the first (bigger) rectangle is not given, so we cannot calculate its area.
2. The area of the second (smaller) rectangle is 24 square inches.
3. The area of the third (bigger) rectangle is 36 square inches.
4. The area of the top rectangle is 54 square inches. This area is also the same as the area of the bottom rectangle (since they are part of the same face).
The total surface area of the rectangular prism would be the sum of the areas of all the faces. Since the dimensions of the first rectangle are not given, we can't calculate the total surface area with the information provided.
Coordinate Geometry and Nets Unit Test
9 of 159 of 15 Items
Question
Use the image to answer the question.
An illustration shows the unfolded version of a rectangular prism composed of 6 rectangles. There are four adjoining rectangles positioned horizontally. The first and third are similar and bigger. The second and fourth are similar and smaller. The area of the second rectangle is labeled 24 square inches. The third rectangle shares the top and bottom sides with two similar rectangles, one on each side. The area of the top rectangle is labeled as 54 square inches and the area of the third rectangle is labeled as 36 square inches.
What is the surface area of the rectangular prism?
(1 point)
___ in.2
To find the total surface area of the rectangular prism, we need to find the areas of all the faces and sum them up:
1. The second rectangle has an area of 24 square inches.
2. The third rectangle has an area of 36 square inches, and it shares its sides with two similar rectangles on the top and bottom. Given that the top rectangle has an area of 54 square inches, we can assume the bottom rectangle also has an area of 54 square inches.
3. The first and fourth rectangles are similar to the second and third rectangles. Since we know the area of the second and third rectangles, we can calculate the areas of the first and fourth rectangles.
The total surface area would be:
2(24) + 2(36) + 2(54) = 48 + 72 + 108 = 228 square inches
Therefore, the surface area of the rectangular prism is 228 square inches.
A rectangular prism has length of 2 feet, a width of 3 feet, and a height of 4 feet. What is the surface area of the rectangular prism? Draw a net to help you find your answer.(1 point)
square feet
To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then sum them up.
Given:
Length = 2 feet
Width = 3 feet
Height = 4 feet
Let's calculate the surface area of each face:
1. Front face: Area = length x height = 2 feet x 4 feet = 8 square feet
2. Back face: Area = length x height = 2 feet x 4 feet = 8 square feet
3. Top face: Area = length x width = 2 feet x 3 feet = 6 square feet
4. Bottom face: Area = length x width = 2 feet x 3 feet = 6 square feet
5. Left side face: Area = width x height = 3 feet x 4 feet = 12 square feet
6. Right side face: Area = width x height = 3 feet x 4 feet = 12 square feet
Now, sum up the areas of all six faces to get the total surface area:
Total Surface Area = 8 + 8 + 6 + 6 + 12 + 12 = 42 square feet
Therefore, the surface area of the rectangular prism is 42 square feet.
How does the net of a fish tank with no lid compare to the net of a fish tank with its lid on?(1 point)
Responses
The net of the fish tank with no lid has four rectangular faces, two pairs of congruent rectangles, and the net of the fish tank with its lid has six rectangular faces, three pairs of congruent rectangles.
The net of the fish tank with no lid has four rectangular faces, two pairs of congruent rectangles, and the net of the fish tank with its lid has six rectangular faces, three pairs of congruent rectangles.
The net of the fish tank with no lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with its lid comprises six rectangles, three pairs of congruent rectangles.
The net of the fish tank with no lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with its lid comprises six rectangles, three pairs of congruent rectangles.
The net of the fish tank with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with no lid comprises six rectangles, three pairs of congruent rectangles.
The net of the fish tank with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the fish tank with no lid comprises six rectangles, three pairs of congruent rectangles.
Both the nets are identical.
Both the nets are identical.
The correct response is:
The net of the fish tank with no lid has four rectangular faces, two pairs of congruent rectangles, and the net of the fish tank with its lid has six rectangular faces, three pairs of congruent rectangles.