Question

1.What is the surface area of the prism? (1 point)

283.8 m²

292.4 m2

325.4 m²

407 m²


2. What is the lateral surface area of the prism? (1 point)

283.8 m²

292.4 m2

325.4 m²

407 m²

Answer 1

The surface area is
`325.4m^2`

The lateral surface area is:
`292.4m^2`

Explanation:

Given

`L = 3m` -- Length

`H =17.2m` --- Height

`W = 5.5m` --- Width

See attachment for prism

Solving (a): The surface area

This is calculated as:

`S.A = 2 * (LW + WH + LH)`

This gives:

`S.A = 2 * (3*17.2 + 17.2 * 5.5 + 3 * 5.5)`

`S.A = 2 * (51.6 + 94.6 + 16.5)`

`S.A = 2 * 162.7`

`S.A = 325.4m^2`

Solving (b): The lateral surface area

This is calculated as:

`L = 2 * (L + W) * H`

So, we have:

`L = 2 * (3 +5.5) * 17.2`

`L = 2 * 8.5 * 17.2`

`L = 292.4m^2`