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=
a
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The total surface area of the triangular prism can be calculated by finding the areas of the three rectangles and two triangles that make up the prism.
Area of the triangular face = (1/2) * base * height = (1/2) * 8 * 6 = 24 square inches
Area of the two rectangular sides = length * height = 19 * 6 = 114 square inches
Area of the top rectangular face = length * base = 19 * 8 = 152 square inches
Total surface area = (2 * 24) + (2 * 114) + 152 = 424 square inches
Therefore, the skateboard club will need 424/200 = 2.12 pints of paint. Since paint is only sold in whole pints, the club will need to purchase 3 pints of paint.
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 measures 12 centimeters and 9 centimeters. The perpendicular side of the triangular face measures 5 centimeters and the hypotenuse measures 13 centimeters.
A wedge of cheese is shaped like a triangular prism. How much plastic wrap is needed to cover the wedge of cheese?
(1 point)
Responses
810 cm2
810 cm squared
240 cm2
240 cm squared
330 cm2
330 cm squared
287 cm2
To find the surface area of the triangular prism shaped like a wedge of cheese, we need to calculate the areas of the different faces.
Area of the triangular face = (1/2) * base * height = (1/2) * 9 * 5 = 22.5 cm squared
Area of the two rectangular sides = length * height = 12 * 5 = 60 cm squared
Area of the top rectangular face = length * base = 12 * 9 = 108 cm squared
Total surface area = (2 * 22.5) + (2 * 60) + 108 = 222 cm squared
Therefore, 222 cm squared of plastic wrap is needed to cover the wedge of cheese.