Determine the total area of the TWO bases of this triangular prism.

Question

left side is 10 in
height in the middle is 8 in
base is 12 in
the right side of the triangle is 10in
and the side base is 14 in


(1 point)
Responses

48 square inches
48 square inches

96 square inches
96 square inches

188 square inches
188 square inches

448 square inches
448 square inches

Answer 1

The formula to calculate the area of a triangle is A = 0.5 * base * height.

First, let's calculate the area of the base of the triangular prism on the left side:
A = 0.5 * 12 * 10
A = 0.5 * 120
A = 60 square inches

Next, let's calculate the area of the base of the triangular prism on the right side:
A = 0.5 * 14 * 10
A = 0.5 * 140
A = 70 square inches

Now, let's add the areas of the two bases together:
60 + 70 = 130 square inches

Therefore, the total area of the two bases of the triangular prism is 130 square inches.

Answer 2

130 is not an option is there another way to work this out

Answer 3

Yes, I apologize for the miscalculation. Let's try another way to calculate the total area of the two bases of the triangular prism.

The bases of the triangular prism are both triangles with dimensions given as:
Base 1: 12 in x 10 in
Base 2: 14 in x 10 in

The formula to find the area of a triangle is A = 0.5 * base * height.

For Base 1:
A1 = 0.5 * 12 * 10
A1 = 0.5 * 120
A1 = 60 square inches

For Base 2:
A2 = 0.5 * 14 * 10
A2 = 0.5 * 140
A2 = 70 square inches

Now, let's find the total area of the two bases:
Total Area = A1 + A2
Total Area = 60 + 70
Total Area = 130 square inches

Therefore, the total area of the two bases of the triangular prism is 130 square inches.