Question

What is the surface area of a rectangular prism that has a height of 5 cm, a width of 10 cm, and a depth of 4 cm?

A rectangular prism with length of 10 centimeters, width of 4 centimeters, and height of 5 centimeters.

[Not drawn to scale]


120 square centimeters
180 square centimeters
220 square centimeters
270 square cemtimeters

Answer 1

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.

`A=2(lw+wh+hl)`, where,

l = Length,

w = Width,

h = Height.

`A=2(10\text{ cm}\cdot 4\text{ cm}+4\text{ cm}\cdot 5\text{ cm}+5\text{ cm}\cdot 10\text{ cm})`

`A=2(40\text{ cm}^2+20\text{ cm}^2+50\text{ cm}^2)`

`A=2(110\text{ cm}^2)`

`A=220\text{ cm}^2`

Therefore, the surface area of the given prism would be
`220\text{ cm}^2` and option C is the correct choice.

Answer 2

220 square centimeters Option c.

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.