Question

23 cm

8 cm
8 cm
8 cm
The area of one of the bases of the figure shown above is about 15.6 cm?
What is the surface area, in cm2, of the figure? Round your answer to the
nearest tenth

Answer 1

445.2 square cm

Explanation:

The surface area consists of area of two bases and area of three leteral faces. Each lateral face is a rectangle with length of 23 cm and width of 6 cm.

The area of rectangle is

`A_(rectangle)=\text{length}*\text{width}`

So,

`A_(rectangle)=23* 6=138\ cm^2`

The area of base is given as
`15.6\ cm^2`

Thus, the surface area is

`SA=2A_(base)+3A_(lateral\ face)\\ \\SA=2\cdot 15.6+3\cdot 138=445.2\ cm^2`