Question

Hello, can you help me solve this worksheet and show all work.

Answer 1

PART A:

We want to find the surface area and volume of the rectangular prism.

The surface area is given by;

`SA=2lb+2lh+2bh`

Inserting the values, we have;

`\begin{gathered} SA=2(6*3)+2(6*4)+2(4*3) \\ SA=108cm^2 \end{gathered}`

The volume is;

`V=lbh=6*4*3=72cm^3`

PART B:

We want to find the surface area and volume of the triangular prism.

The surface area is given by the formula;

`2(Base\text{ }area)+(Base\text{ }Perimeter* height)`

We have;

`\begin{gathered} SA=2((1)/(2)*6*8)+(6+8+10)(7.5) \\ SA=228cm^2 \end{gathered}`

To calculate the volume;

`\begin{gathered} V=Base\text{ }area* height \\ V=(1)/(2)*6*8*7.5 \\ V=180cm^3 \end{gathered}`