Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need?
A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.
[Not drawn to scale]
96 square feet
144 square feet
156 square feet
168 square feet
Jw is 96 correct
Answers
Given : Jess is building a skateboarding ramp in the shape of a triangular prism
The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.
Jess wants to cover all faces of the ramp with plywood,
To Find : plywood required to cover all faces of the ramp
Solution:
To Cover all the faces of ramp
Area of rectangular sides 12 feet by 3 feet = 12 x 3 = 36 sq feet
Area of rectangular sides 12 feet by 4 feet = 12 x 4 = 48 sq feet
Area of rectangular sides 12 feet by 5 feet = 12 x 5 = 60 sq feet
Area of one side triangle = (1/2) * 3 * 4 = 6 sq feet
Triangle will be both sides
Hence total area = 36 + 48 + 60 + 2 * 6
= 144 + 12
=156 sq feet
Plywood required to cover all faces of the ramp = 156 sq feet
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Step-by-step explanation:
168 square feet
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