Question

An aquarium is a rectangular prism with an open top. The height and width of the aquarium are both 10 inches, and its length is 20 inches. What is the surface area of the aquarium in square inches?

Answer 1

800 square inches

Step-by-step explanation:

Given:

An aquarium is a rectangular prism with an open top.

The height and width of the aquarium are both 10 inches.

Length of the aquarium is 20 inches.

To find: Surface area of the aquarium in square inches

Solution:

Let
`l,w,h` denote length, width and height of a rectangular prism respectively.

`l=20` inches

`w=10` inches

`h=10` inches

Surface area of an aquarium = Lateral surface area of an aquarium + area of base of an aquarium

`=2h(l+w)+lw`

`=2(10)(20+10)+20(10)`

`=20(30)+200`

`=600+200`

`=800` square inches