Question

Please help me with the question below (also please explain).

Answer 1

Given:

Shape is:

Find-:

The surface area of the shape

Explanation-:

The surafce area of a shape is:

the surface area is:

`\begin{gathered} AGED=\text{ Length }*\text{ Width} \\ \\ AGED\text{ }=12*8 \\ \\ AGED=96 \end{gathered}`

The area of CDEF and ABIG is the same because of the same dimension.

The area of ABCD and EFIG is the same because of the same dimension.

`\begin{gathered} ABCD=EFIG \\ \\ ABCD=\text{ Length }*\text{ Width} \\ \\ ABCD=8*6 \\ \\ ABCD=48 \end{gathered}`

The area of CJHF and JHIB is the same because of the same dimension.

`\begin{gathered} CJHF=JHIB \\ \\ CJHF=\text{ Length }*\text{ Width} \\ \\ CJHF=12*5 \\ \\ CJHF=60 \end{gathered}`

The area of CJB and FHI is the same because of the same dimension.

The area of a triangle is:

`\text{ Area }=(1)/(2)*\text{ base}*\text{ height}`

For triangle base and height is:

`\begin{gathered} \text{ Base }=8 \\ \\ \text{ Height }=3 \end{gathered}`

Area of CJB and FHI is:

`\begin{gathered} CJB=FHI \\ \\ CJB=(1)/(2)*\text{ Base}*\text{ Height} \\ \\ CJB=(1)/(2)*8*3 \\ \\ CJB=12 \end{gathered}`

So, the surface area is:

`\begin{gathered} =96+72+72+48+48+60+60+12+12 \\ \\ =480 \end{gathered}`

The surface area is 480 cm²