Question

Use the image to answer the question. An illustration shows a 3-D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measure 19 inches and 8 inches. The perpendicular side of the triangular face measures 6 inches and the hypotenuse measures 10 inches. The diagram represents a model of a ramp the skateboard club wants to create at the neighborhood skate park. If one pint of paint covers 200 square inches, how many pints of paint will the club need to purchase? Paint is only sold in whole pints.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the total surface area of the triangular prism, we need to calculate the area of each of the faces and then add them up.

First, calculate the area of the triangular face:
Area = (1/2) * base * height
Area = (1/2) * 8 * 6
Area = 24 square inches

Next, calculate the area of the rectangular faces:
Length * width = 19 * 8 = 152 square inches

Now, add up the areas of all the faces:
Total surface area = 2 * (Area of triangular face) + 3 * (Area of rectangular face)
Total surface area = 2 * 24 + 3 * 152
Total surface area = 48 + 456
Total surface area = 504 square inches

Since one pint of paint covers 200 square inches, we divide the total surface area by 200 to find out how many pints of paint the skateboard club will need to purchase:
Pints of paint = 504 / 200
Pints of paint = 2.52, rounded up to the nearest whole number since paint is only sold in whole pints

Therefore, the skateboard club will need to purchase 3 pints of paint.