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)
whats the answer?
To find the surface area of the triangular prism, we need to find the area of each of its faces and then add them together.
1. The area of the rectangular face (front and back) is Base x Height = 8 inches x 6 inches = 48 square inches for each face. Since there are two rectangular faces, the total area for the rectangular faces is 2 x 48 = 96 square inches.
2. The area of the triangular faces (top and bottom) can be calculated using the formula: 1/2 x Base x Height. For the top triangular face, the base is 8 inches and the height is 10 inches, so the area is 1/2 x 8 inches x 10 inches = 40 square inches. Since there are two triangular faces (top and bottom), the total area for the triangular faces is 2 x 40 = 80 square inches.
Therefore, the total surface area of the ramp is 96 + 80 = 176 square inches.
If one pint of paint covers 200 square inches, the skateboard club will need to purchase at least 1 pint of paint to cover the entire ramp.