Question

What is the surface area of the shaded front face of the composite solid?

a. 16 square centimeters
b. 18 square centimeters
c. 26 square centimeters
d. 32 square centimeters

Answer 1

`$$\begin{matrix} ((8*4)-(2*3))cm^2\\=(32-6)cm^2\\\mathbf{26\:cm^2} \end{matrix}$$`

Answer 2

c. 26 square centimeters

Explanation:

The given figure's area can be calculated by subtracting the area of the small cut out with dimension 2 cm by 3 cm from the complete area of the shaded portion with dimensions 8 cm by 4 cm.

So, area of the shaded portion is :

`(8*4)-(2*3)`

=
`32-6`

= 26 cm square.

Therefore, option C is the answer.