Question

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 12x7 m rectangles on the top and bottom as the bases.

Possible Answers:
A) 76 m^2;244 m^2
B) 76 m^2;160 m^2
C) 216 m^2;160 m^2
D) 216 m^2;244 m^2

Photo:

Answer 1

`76m^(2) ; 244m^(2)`

Explanation:

Answer 2

We are asked to solve for the lateral area and surface area of the rectangular prism.
The given values are:
L = 12
W = 7
H = 2
Solving for the lateral area is shown below:
Lateral Area (LA) = PH where P = 2L +2W
Lateral Area (LA) = (2*12 + 2*7)*2
Lateral area (LA) = 76 m²

Solving for the surface are is shown below:
SA = LA + 2B where B=L*W
SA = 76 m² + 2*(12*7)
SA = 244 m²

The answer is the letter "A".