Apply the technique of using nets. What is the surface area of the rectangular prism whose dimensions measure 7 inches by 3 inches by 11 inches? (1 point)
Responses
231 in.2
231 in squared
154 in.2
154 in squared
262 in.2
262 in squared
131 in.2
262 in.2
What is the surface area of a rectangular prism whose dimensions are 334 dm×412 dm×5 dm in square decimeters?(1 point)
Responses
8438 dm2
84 Start Fraction 3 over 8 End Fraction dm squared
5818 8 dm2
58 Start Fraction 1 over 8 End Fraction dm squared
16 dm2
16 dm squared
11614 dm2
11614 dm2
Apply the technique of using nets to find the surface area of a turtle’s tank, which measures 33.93 inches long by 15.81 inches wide by 17.69 inches tall. What is the surface area of the tank if the tank does not include a top cover? Round the answer to the nearest hundredth.(1 point)
Responses
2,296.23 in2
2,296.23 in squared
1,416.33 in2
1,416.33 in squared
2,832.67 in2
2,832.67 in squared
9,489.51 in2
2,296.23 in2
A shipping box has a surface area of 369.5 in2, a height of 9.5 inches, and a width of 3 inches. What is the length of the box? Round the answer to the nearest hundredth.(1 point)
Responses
6.25 inches
6.25 inches
25.00 inches
25.00 inches
12.50 inches
12.50 inches
12.96 inches
12.96 inches
Jeni is painting a flattened shoebox for a school project. The shoebox measures 72.5 cm x 47.5 cm x 104 cm. What is one area that would be identified on the box’s net?(1 point)
Responses
31,847.5 cm2
, 31,847.5 cm squared
224 cm2
, 224 cm squared
7,540 cm2
7,540 cm squared
358,150 cm2
7,540 cm2
To find the surface area of a rectangular prism, we can use the technique of using nets. A net is a 2D representation of a 3D shape that can be cut out and folded to form the shape. In this case, we need to find the surface area of a rectangular prism with dimensions 7 inches by 3 inches by 11 inches.
Step 1: Identify the faces of the prism
A rectangular prism has 6 faces: a top face, a bottom face, two side faces, a front face, and a back face.
Step 2: Calculate the area of each face
The area of a rectangle is calculated by multiplying its length by its width.
- Top and bottom faces: The top and bottom faces of the prism have dimensions 7 inches by 3 inches. So, the area of each face is 7 inches multiplied by 3 inches, which is 21 square inches each.
- Side faces: The side faces of the prism have dimensions 7 inches by 11 inches. So, the area of each face is 7 inches multiplied by 11 inches, which is 77 square inches each.
- Front and back faces: The front and back faces of the prism have dimensions 3 inches by 11 inches. So, the area of each face is 3 inches multiplied by 11 inches, which is 33 square inches each.
Step 3: Add up the areas of all the faces
To find the total surface area of the prism, add up the areas of all the faces.
Total surface area = 2(top/bottom faces) + 2(side faces) + 2(front/back faces)
Total surface area = 2(21 square inches) + 2(77 square inches) + 2(33 square inches)
Total surface area = 42 square inches + 154 square inches + 66 square inches
Total surface area = 262 square inches
Therefore, the surface area of the rectangular prism with dimensions 7 inches by 3 inches by 11 inches is 262 square inches.