1. use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. Use the large 12 * 7 m rectangles on the top and bottom as the bases. The lengths are 2m, 12m, and 7m. 2. Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. Lengths are 6m, 9m, 26m, 10.82m.

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MrRoyal MrRoyal · Answer 1 · 2022-04-15T16:12:45+02:00

The lateral area is 755 m², and the surface area is 785 m²

The lateral area (L) is calculated using

L = Base Perimeter * Height

From the figure (see attachment), we have:

So, the lateral area is:

L = 22.21 m * 34 m

Evaluate the product

L = 755 m²

The surface area (S) is calculated using

S = L + 2 * Base Area

The base area (B) is calculated using

B = 0.5 * base * height

This gives

B = 0.5 * 5 * 6

Evaluate the product

B = 15 m²

Recall that:

S = L + 2 * Base Area

This gives

S = 755 + 2*15

Evaluate the sum

S = 785 m²

Hence, the lateral area is 755 m², and the surface area is 785 m²