To find the surface area of a figure formed by a net with different edge lengths, we need to first identify the shapes that make up the net.
In this case, the net with edge lengths of 2 cm, 3 cm, and 4 cm forms a rectangular prism. The net consists of two rectangles with dimensions 2 cm by 3 cm and 2 cm by 4 cm (these are the top and bottom faces of the rectangular prism), and three rectangles with dimensions 3 cm by 4 cm (these are the sides of the rectangular prism).
Now, we can calculate the total surface area of the rectangular prism:
Surface area = 2(lw + lh + wh)
Surface area = 2(2*3 + 2*4 + 3*4)
Surface area = 2(6 + 8 + 12)
Surface area = 2(26)
Surface area = 52 cm²
Therefore, the correct answer is:
C. 52 cm²
Find the surface area of the figure formed by the net with 2 cm, 3 cm, and 4 cm edges.
A. 26 cm²
B. 48 cm²
C. 52 cm²
D. 62 cm²
11 answers
Add the rational numbers: 8/15 + (-6/15)
A. 14/15
B. 2/15
C. -2/15
D. -14/15
A. 14/15
B. 2/15
C. -2/15
D. -14/15
To add the rational numbers 8/15 and -6/15, we need to find a common denominator. In this case, the common denominator is 15.
8/15 + (-6/15) = 8/15 - 6/15
= (8 - 6)/15
= 2/15
Therefore, the sum of 8/15 and -6/15 is:
B. 2/15
8/15 + (-6/15) = 8/15 - 6/15
= (8 - 6)/15
= 2/15
Therefore, the sum of 8/15 and -6/15 is:
B. 2/15
Simplify the expression by using the distributive property and combining like terms: -9 + 4(4x + 9)
A. 32x + 16
B. 16x
C. 27 + 16x
D. 16x + 18
A. 32x + 16
B. 16x
C. 27 + 16x
D. 16x + 18
To simplify the expression -9 + 4(4x + 9), we need to apply the distributive property first, then combine like terms.
-9 + 4(4x + 9)
= -9 + 16x + 36 (Apply the distributive property)
= 16x + 27 (Combine like terms)
Therefore, the simplified expression is:
C. 16x + 27
-9 + 4(4x + 9)
= -9 + 16x + 36 (Apply the distributive property)
= 16x + 27 (Combine like terms)
Therefore, the simplified expression is:
C. 16x + 27
Find the area of the composite figure shown:
Base: 20
Length 1 = 8
Length 2= 6
A. 34 units²
B. 220 units²
C. 960 units ²
D. 480 units²
Base: 20
Length 1 = 8
Length 2= 6
A. 34 units²
B. 220 units²
C. 960 units ²
D. 480 units²
To find the area of a composite figure like this one, we first need to determine the individual areas of the two rectangles and then add them together.
Area of a rectangle = base * height
For the first rectangle:
Base = 20 units
Height = 8 units
Area = 20 * 8 = 160 square units
For the second rectangle:
Base = 20 units
Height = 6 units
Area = 20 * 6 = 120 square units
Total area of the composite figure = 160 + 120 = 280 square units
Therefore, the correct answer is not provided among the options given. The closest option is in the wrong units or calculation.
Area of a rectangle = base * height
For the first rectangle:
Base = 20 units
Height = 8 units
Area = 20 * 8 = 160 square units
For the second rectangle:
Base = 20 units
Height = 6 units
Area = 20 * 6 = 120 square units
Total area of the composite figure = 160 + 120 = 280 square units
Therefore, the correct answer is not provided among the options given. The closest option is in the wrong units or calculation.
Find the area of the composite figure shown:
Numbers on the composite figure: 20, 6 and 8.
A. 34 units²
B. 220 units²
C. 960 units ²
D. 480 units²
Numbers on the composite figure: 20, 6 and 8.
A. 34 units²
B. 220 units²
C. 960 units ²
D. 480 units²
To find the area of the composite figure, we must add the areas of the individual shapes.
The composite figure consists of a rectangle with base 20 units and length 8 units, along with a square of side length 6 units.
Area of the rectangle = base * length = 20 * 8 = 160 square units
Area of the square = side^2 = 6^2 = 36 square units
Total area of the composite figure = Area of rectangle + Area of square
Total area = 160 + 36 = 196 square units
Therefore, the correct answer is not listed among the options provided. The closest option would be 34 units², but the actual area is 196 units².
The composite figure consists of a rectangle with base 20 units and length 8 units, along with a square of side length 6 units.
Area of the rectangle = base * length = 20 * 8 = 160 square units
Area of the square = side^2 = 6^2 = 36 square units
Total area of the composite figure = Area of rectangle + Area of square
Total area = 160 + 36 = 196 square units
Therefore, the correct answer is not listed among the options provided. The closest option would be 34 units², but the actual area is 196 units².
actually its 220 units
times b x h so,
20 x 8 = 160
then,
6 x 20 = 120
split the triangle in half so
120 becomes 60.
then add the two numbers togheter.
160 + 60 = 220!
times b x h so,
20 x 8 = 160
then,
6 x 20 = 120
split the triangle in half so
120 becomes 60.
then add the two numbers togheter.
160 + 60 = 220!
I apologize for the oversight. Thank you for the clarification.
To correct the calculation:
Area of the first rectangle: base = 20 units, height = 8 units
Area = 20 * 8 = 160 square units
Area of the second rectangle: base = 20 units, height = 6 units
Area = 20 * 6 = 120 square units
To find the total area, we split the area of the second rectangle in half (since it is a triangle):
Split Area = 120 / 2 = 60 square units
Total area = 160 (first rectangle) + 60 (half of the second rectangle) = 220 square units.
Therefore, the area of the composite figure is indeed 220 units², as you correctly pointed out. Thank you for your assistance.
To correct the calculation:
Area of the first rectangle: base = 20 units, height = 8 units
Area = 20 * 8 = 160 square units
Area of the second rectangle: base = 20 units, height = 6 units
Area = 20 * 6 = 120 square units
To find the total area, we split the area of the second rectangle in half (since it is a triangle):
Split Area = 120 / 2 = 60 square units
Total area = 160 (first rectangle) + 60 (half of the second rectangle) = 220 square units.
Therefore, the area of the composite figure is indeed 220 units², as you correctly pointed out. Thank you for your assistance.