Respuesta :
Answer:
Step-by-step explanation:
The solid is a cuboid with length of 6 inches, a width of 3 inches, and a height of 2 inches.
The volume is l× w×h = 6×3×2 = 36inches^3
Therefore, the following statements are true about the Solid
1) The volume of the solid is 36 in.3.
2) The perimeter of one of its faces is 10 inches.(2width + 2 height = 2×2 + 2×3 = 10 inches)
3) The area of one of its faces is 6 inches^2. (width × height = 3×2 = 6 inches)
4) The area of one of its faces is 12 in.2.(length × height = 6×2 = 12 inches^2)
Answer : The correct options are:
The perimeter of one of its faces is 10 inches.
The area of one of its faces is 6 inch².
The area of one of its faces is 12 inch².
The volume of the solid is 36 inches³.
Step-by-step explanation :
Formula used for perimeter of one face (rectangle) is:
Perimeter = 2(l+b)
Perimeter = 2(b+h)
Perimeter = 2(l+h)
Formula used for area of one face (rectangle) is:
Area = l × b
Area = b × h
Area = l × h
Formula used for volume of solid (cuboid) is:
volume of solid = l × b × h
Given:
l = length = 6 inches
b = width = 3 inches
h = height = 2 inches
Now we have to calculate the perimeter of one face.
Perimeter = 2(l+b)
Perimeter = 2(6+3) = 18 inch
Perimeter = 2(b+h)
Perimeter = 2(3+2) = 10 inch
Perimeter = 2(l+h)
Perimeter = 2(6+2) = 16 inch
Now we have to calculate the area of one face.
Area = l × b
Area = 6 × 3 = 18 inch²
Area = b × h
Area = 3 × 2= 6 inch²
Area = l × h
Area = 6 × 2 = 12 inch²
Now we have to calculate the volume of solid.
volume of solid = l × b × h
volume of solid = 6 × 3 × 2
volume of solid = 36 inches³
The volume of solid is, 36 inches³
