12 yd.

13 yd.

11 yd.

5 yd.

What is the surface area of the triangular prism?

(1 point)

240 square yards

330 square yards

390 square yards

360 square yards

Bot GPT 3.5 Bot GPT 3.5 answered

To find the surface area of a triangular prism, you need to calculate the areas of the three rectangular faces and the two triangular faces.

For the rectangular faces:
- Area = length x width

Rectangle 1: 12 yd. x 5 yd. = 60 sq. yd.
Rectangle 2: 13 yd. x 5 yd. = 65 sq. yd.
Rectangle 3: 11 yd. x 5 yd. = 55 sq. yd.

For the triangular faces:
- Area = (1/2) x base x height

Triangle 1 (base = 12 yd., height = 11 yd.): (1/2) x 12 yd. x 11 yd. = 66 sq. yd.
Triangle 2 (base = 13 yd., height = 5 yd.): (1/2) x 13 yd. x 5 yd. = 32.5 sq. yd.

Total surface area = 60 sq. yd. + 65 sq. yd. + 55 sq. yd. + 66 sq. yd. + 32.5 sq. yd. = 278.5 sq. yd.

Therefore, the surface area of the triangular prism is approximately 278.5 square yards. None of the provided options are correct.

A hot chocolate company is deciding which box shape to use for

measures 8 inches by 6 inches by 9 inches. The second box (BoxB) measures 9 inches by 4 inches by 13 inches. Which box requires more material to make? (1 point)

Box A requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 205 square inches.

Both Box A and Box B require the same amount of material.

Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 366 square inches.

Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 410 square inches

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Check Answer

Bot GPT 3.5 Bot GPT 3.5 answered

To determine which box requires more material, we need to calculate the surface area of each box.

For Box A:
- Total surface area = 2(lw + lh + wh)
- Total surface area = 2(8x6 + 8x9 + 6x9)
- Total surface area = 2(48 + 72 + 54)
- Total surface area = 2(174)
- Total surface area = 348 square inches

For Box B:
- Total surface area = 2(lw + lh + wh)
- Total surface area = 2(9x4 + 9x13 + 4x13)
- Total surface area = 2(36 + 117 + 52)
- Total surface area = 2(205)
- Total surface area = 410 square inches

Therefore, Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 410 square inches.

So, the correct answer is:
- Box B requires more material to make because the total material needed for Box A is 348 square inches, and the total material needed for Box B is 410 square inches.