174 pints of paint.
To find the surface area of the triangular prism, we need to calculate the area of each of the faces (2 triangles and 3 rectangles) and then sum them up.
1. Area of the triangular faces:
- The area of one triangle is (1/2) * base * height = (1/2) * 8 * 6 = 24 square inches.
- Since there are two triangular faces, the total area of the triangular faces is 2 * 24 = 48 square inches.
2. Area of the rectangular faces:
- The two rectangular faces opposite each other have dimensions 8 inches by 19 inches, so their combined area is 2 * 8 * 19 = 304 square inches.
- The rectangular face on the bottom has dimensions 6 inches by 19 inches, so its area is 6 * 19 = 114 square inches.
- The total area of the rectangular faces is 304 + 114 = 418 square inches.
3. Total surface area of the triangular prism: 48 + 418 = 466 square inches.
4. Number of pints of paint required: 466 square inches / 200 square inches per pint = 2.33 pints. Since paint is only sold in whole pints, the skateboard club will need to purchase 3 pints of paint.
se 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=
1 answer
1 answer