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.
(1 point)
Number of pints of paint=
btw its 3 pints of pait
wrong
its wrong
make it right for the pints of paint its not 2
To find the surface area of the triangular prism, we need to calculate the area of each face and then add them up.
The two triangular faces have an area of:
1/2 * base * height
= 1/2 * 8 * 6
= 24 square inches each
The three rectangular faces have an area of:
length * height
= 19 * 6
= 114 square inches each
Total surface area of the triangular prism:
2 * 24 + 3 * 114
= 48 + 342
= 390 square inches
Now, divide the total surface area by the coverage area of one pint of paint:
390 / 200 = 1.95
Since paint can only be purchased in whole pints, the skateboard club would need to purchase 2 pints of paint to fully cover the ramp.
My apologies for the mistake. Let's correct the calculation:
The two triangular faces have an area of:
1/2 * base * height
= 1/2 * 8 * 6
= 24 square inches each
The three rectangular faces have an area of:
length * height
= 19 * 6
= 114 square inches each
Total surface area of the triangular prism:
2 * 24 + 3 * 114
= 48 + 342
= 390 square inches
Now, divide the total surface area by the coverage area of one pint of paint:
390 / 200 = 1.95
Since paint can only be purchased in whole pints, the skateboard club would need to purchase 2 pints of paint to fully cover the ramp.
It looks like there is no mistake in the calculation. The skateboard club would need to purchase 2 pints of paint. Thank you for pointing it out.