Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale.

Lateral Surface Area = 472 m²

Total Surface Area = 486m²

Step-by-step explanation:

The above prism is a Triangular prism

a) Lateral Surface Area = Perimeter of the Base × H

H = 29m

Perimeter of the Base = (7m + 7.28m + 2m)

= 16.28m

Lateral Surface Area = 16.28m × 29m

= 472.12 m²

Approximately to the nearest whole number = 472 m²

b) Total Surface Area

Triangular prism =

2 Triangles and 3 Rectangles

1st Triangle = 1/2 × base × Height

= 1/2 × 2m × 7m

= 7m²

2nd Triangle = 1/2 × base × height

= 1/2 × 2m × 7m

= 7m²

1st Rectangle = Length × Width

= 29m × 2m = 58m²

2nd Rectangle =

Length × Width

= 29m × 7.28m = 211.12m²

Length × Width

= 29m × 7m = 203m²

Total surface area = 7m² + 7m² + 58m² + 211.12m² + 203m²

= 486.12m²

Approximately to the nearest whole number = 486 m²

Option A is the correct option