Question

What is the volume and surface area if 3.14 is used as pi

Answer 1

Explanation:

The volume of the solid is the area of the front face multiplied by the length.

The front face of the solid has the shape of a right triangle.

The leftmost side of that triangle is unknown.

We can use Pythagoras's theorem to find the length of the leftmost side.

The length of the leftmost side is

`\begin{gathered} L=\sqrt[]{20.5^2-13.3^2} \\ L=15.6 \end{gathered}`

therefore, the volume of the solid is

`\begin{gathered} Volume=(1)/(2)(15.6)(13.3)(16) \\ \end{gathered}`
`\boxed{Volume=1659.84}`

The surface area of the solid is the sum if the surface areas of all its sides.

Surface area is

`(13.3*16)+(13.3*15.6)+(15.6*16)+(20.5*16)`
`=997.88`

Hence, the area of the solid is 997.88 square mm.