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=
To find the surface area of the triangular prism, we need to find the area of each face and then add them up.
The triangular face has a base of 8 inches and a height of 6 inches:
Area = (1/2) * base * height
Area = (1/2) * 8 * 6
Area = 24 square inches
Since there are two triangular faces, the total area for the triangular faces is 2 * 24 = 48 square inches.
The rectangular faces have the same length and base as the triangular faces:
Area = length * base
Area = 19 * 8
Area = 152 square inches
Since there are two rectangular faces, the total area for the rectangular faces is 2 * 152 = 304 square inches.
Adding the areas of the triangular and rectangular faces together:
Total surface area = 48 + 304
Total surface area = 352 square inches
Since one pint of paint covers 200 square inches, the club will need to purchase 352 / 200 = 1.76 pints of paint. Since paint is only sold in whole pints, the club will need to purchase 2 pints of paint.