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Drow the net and find CSA & Volume
Mathematics
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2 partsStep-by-step solution
6 stepsThe image shows a triangular prism with the following dimensions:
- Base of the triangular face:
- Height of the triangular face:
- Hypotenuse of the triangular face:
- Length of the prism:
Part a
**Draw the net
The net of this triangular prism consists of two identical right-angled triangles (the bases) and three rectangular faces.
Imagine unfolding the prism:
- Two triangles, each with sides , , and .
- Three rectangles:
- One rectangle with dimensions (corresponding to the base of the triangle).
- One rectangle with dimensions (corresponding to the height of the triangle).
- One rectangle with dimensions (corresponding to the hypotenuse of the triangle). These three rectangles would be connected side-by-side, forming a larger rectangle with dimensions , and the two triangles would be attached to opposite sides of one of the rectangles (e.g., the rectangle).
Part b
**Find the Total Surface Area (TSA)
Calculate the area of one triangular base ().
Calculate the perimeter of the triangular base ().
Calculate the lateral surface area ().
Calculate the Total Surface Area (TSA).
The Total Surface Area is .
Part c
**Find the Volume
Calculate the area of the triangular base ().
(This is the same as calculated in Step 1 for TSA)
Calculate the volume () of the prism.
The Volume is .
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