Question

Find the surface area of the giving prism round to the nearest 10

Answer 1

The surface area of the given prism is the sum of areas of all sides.

From the given figure, we have :

2 Triangles with a base of 9 ft and a height of 7.6 ft

1 rectangle with a length of 13 ft and a width of 10 ft

1 rectangle with a length of 13 ft and a width of 8 ft

1 rectangle with a length of 13 ft and a width of 9 ft

The formula for the area of a triangle is :

`A=(1)/(2)* Base* Height`
`A=(1)/(2)*9*7.6`
`A=34.2`

Since there are two triangles, the total area of the triangle is :

`A=2*34.2=68.4`

The formula for the area of the rectangle is :

We can add the three triangles together.

`A=(13*10)+(13*8)+(13*9)`
`A=130+104+117`
`A=351`

Now we have the areas of the sides, take the sum of these areas to find the surface area.

`\text{Surface Area = 68.4 + 351}`
`\text{Surface Area = 419.4 ft\textasciicircum{}2}`