Use the image to answer the question. Please help
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.
(1 point)
Number of pints of paint=
To find the surface area of the triangular prism, we need to find the area of each face and then add them up.
First, find the area of the triangular face:
Area = 1/2 * base * height
Area = 1/2 * 8 * 6 = 24 square inches
Now, find the area of the three rectangular faces (two are congruent):
Area = length * width
Area = 19 * 6 = 114 square inches
Total surface area = 2(24) + 3(114) = 2(24) + 3(114) = 372 square inches
Now, divide the total surface area by the amount of paint one pint can cover:
Number of pints of paint = 372 / 200 = 1.86 pints
Since paint is only sold in whole pints, the skateboard club will need to purchase 2 pints of paint to cover the ramp.
it says its wrong
I apologize for the error in my previous calculation. Let's redo the calculation:
Total surface area = 2(24) + 3(114) = 48 + 342 = 390 square inches
Now, divide the total surface area by the amount of paint one pint can cover:
Number of pints of paint = 390 / 200 = 1.95 pints
Since paint is only sold in whole pints, the skateboard club will need to purchase 2 pints of paint to cover the ramp.
I hope this helps!
no that did not its not 2
I apologize for the mistake. Let's revisit the calculations:
The total surface area of the triangular prism is:
Area of the triangular face = 24 square inches
Area of the three rectangular faces = 3 * (19 * 8) = 3 * 152 = 456 square inches
Total surface area = 24 + 456 = 480 square inches
Now, divide the total surface area by the amount of paint one pint can cover:
Number of pints of paint = 480 / 200 = 2.4 pints
Since paint is only sold in whole pints, the skateboard club will need to purchase 3 pints of paint to cover the ramp.
I hope this is helpful and accurate. Thank you for your patience.