Respuesta :
Answer:
220 square centimeters Option c.
Step-by-step explanation:
There are 6 faces of a rectangular prism, so to find the surface area of the prism, add the area of each faces.
Surface Area = 2(lw + lh + wh)
where, l = Length, w = Width and h = Height of the rectangular prism.
According to the given dimensions
Length = 10 cm
Width = 4 cm
Height = 5 cm
Therefore, the surface area of the given rectangular prism will be,
S.A. = 2((10)(4) + (10)(5) + (5)(4))
= 2(40 + 50 + 20)
= 2 (110)
= 220 cm²
Surface area of the rectangular prism will be 220 cm².
We have been given that a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm. We are asked to find the surface area of the prism.
We will use surface area of rectangular prism to solve our given problem.
[tex]A=2(lw+wh+hl)[/tex], where,
l = Length,
w = Width,
h = Height.
[tex]A=2(10\text{ cm}\cdot 4\text{ cm}+4\text{ cm}\cdot 5\text{ cm}+5\text{ cm}\cdot 10\text{ cm})[/tex]
[tex]A=2(40\text{ cm}^2+20\text{ cm}^2+50\text{ cm}^2)[/tex]
[tex]A=2(110\text{ cm}^2)[/tex]
[tex]A=220\text{ cm}^2[/tex]
Therefore, the surface area of the given prism would be [tex]220\text{ cm}^2[/tex] and option C is the correct choice.
